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Finding the Fourth Proportional to 9,972.12, 13,731.48 and 9,753.48

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Solution

The fourth proportional to 9,972.12, 13,731.48 and 9,753.48 is: 13,430.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,972.12 : 13,731.48 = 9,753.48 : x
  2. Step 2: Convert to fraction form
    9,972.12/13,731.48 = 9,753.48/x
  3. Step 3: Cross multiply
    9,972.12x = 13,731.48 × 9,753.48
  4. Step 4: Simplify right side
    9,972.12x = 133,929,715.55
  5. Step 5: Solve for x
    x = 133,929,715.55/9,972.12
  6. Step 6: Final answer
    x = 13,430.42

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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.