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Finding the Fourth Proportional to 8,514.26, 12,709 and 7,888.84

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Solution

The fourth proportional to 8,514.26, 12,709 and 7,888.84 is: 11,775.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.26 : 12,709 = 7,888.84 : x
  2. Step 2: Convert to fraction form
    8,514.26/12,709 = 7,888.84/x
  3. Step 3: Cross multiply
    8,514.26x = 12,709 × 7,888.84
  4. Step 4: Simplify right side
    8,514.26x = 100,259,267.56
  5. Step 5: Solve for x
    x = 100,259,267.56/8,514.26
  6. Step 6: Final answer
    x = 11,775.45

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Double scale
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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.