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Finding the Fourth Proportional to 9,966.88, 13,654.69 and 9,593.20

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Solution

The fourth proportional to 9,966.88, 13,654.69 and 9,593.20 is: 13,142.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.88 : 13,654.69 = 9,593.20 : x
  2. Step 2: Convert to fraction form
    9,966.88/13,654.69 = 9,593.20/x
  3. Step 3: Cross multiply
    9,966.88x = 13,654.69 × 9,593.20
  4. Step 4: Simplify right side
    9,966.88x = 130,992,172.11
  5. Step 5: Solve for x
    x = 130,992,172.11/9,966.88
  6. Step 6: Final answer
    x = 13,142.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.