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Finding the Fourth Proportional to 11,497.57, 15,866.64 and 6,720.80

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Solution

The fourth proportional to 11,497.57, 15,866.64 and 6,720.80 is: 9,274.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,497.57 : 15,866.64 = 6,720.80 : x
  2. Step 2: Convert to fraction form
    11,497.57/15,866.64 = 6,720.80/x
  3. Step 3: Cross multiply
    11,497.57x = 15,866.64 × 6,720.80
  4. Step 4: Simplify right side
    11,497.57x = 106,636,514.11
  5. Step 5: Solve for x
    x = 106,636,514.11/11,497.57
  6. Step 6: Final answer
    x = 9,274.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.