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Finding the Fourth Proportional to 11,514.71, 17,206.50 and 8,646.49

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Solution

The fourth proportional to 11,514.71, 17,206.50 and 8,646.49 is: 12,920.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,514.71 : 17,206.50 = 8,646.49 : x
  2. Step 2: Convert to fraction form
    11,514.71/17,206.50 = 8,646.49/x
  3. Step 3: Cross multiply
    11,514.71x = 17,206.50 × 8,646.49
  4. Step 4: Simplify right side
    11,514.71x = 148,775,700.92
  5. Step 5: Solve for x
    x = 148,775,700.92/11,514.71
  6. Step 6: Final answer
    x = 12,920.50

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.