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Finding the Fourth Proportional to 12,839.11, 17,714.73 and 7,532.90

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Solution

The fourth proportional to 12,839.11, 17,714.73 and 7,532.90 is: 10,393.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,839.11 : 17,714.73 = 7,532.90 : x
  2. Step 2: Convert to fraction form
    12,839.11/17,714.73 = 7,532.90/x
  3. Step 3: Cross multiply
    12,839.11x = 17,714.73 × 7,532.90
  4. Step 4: Simplify right side
    12,839.11x = 133,443,289.62
  5. Step 5: Solve for x
    x = 133,443,289.62/12,839.11
  6. Step 6: Final answer
    x = 10,393.50

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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.