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Finding the Fourth Proportional to 12,538.53, 17,306.87 and 7,237.08

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Solution

The fourth proportional to 12,538.53, 17,306.87 and 7,237.08 is: 9,989.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.53 : 17,306.87 = 7,237.08 : x
  2. Step 2: Convert to fraction form
    12,538.53/17,306.87 = 7,237.08/x
  3. Step 3: Cross multiply
    12,538.53x = 17,306.87 × 7,237.08
  4. Step 4: Simplify right side
    12,538.53x = 125,251,166.55
  5. Step 5: Solve for x
    x = 125,251,166.55/12,538.53
  6. Step 6: Final answer
    x = 9,989.30

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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.