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Finding the Fourth Proportional to 11,665.12, 17,497.62 and 9,713.20

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Solution

The fourth proportional to 11,665.12, 17,497.62 and 9,713.20 is: 14,569.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,665.12 : 17,497.62 = 9,713.20 : x
  2. Step 2: Convert to fraction form
    11,665.12/17,497.62 = 9,713.20/x
  3. Step 3: Cross multiply
    11,665.12x = 17,497.62 × 9,713.20
  4. Step 4: Simplify right side
    11,665.12x = 169,957,882.58
  5. Step 5: Solve for x
    x = 169,957,882.58/11,665.12
  6. Step 6: Final answer
    x = 14,569.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.