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Finding the Fourth Proportional to 12,691.76, 17,512.54 and 7,972.68

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Solution

The fourth proportional to 12,691.76, 17,512.54 and 7,972.68 is: 11,000.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,691.76 : 17,512.54 = 7,972.68 : x
  2. Step 2: Convert to fraction form
    12,691.76/17,512.54 = 7,972.68/x
  3. Step 3: Cross multiply
    12,691.76x = 17,512.54 × 7,972.68
  4. Step 4: Simplify right side
    12,691.76x = 139,621,877.41
  5. Step 5: Solve for x
    x = 139,621,877.41/12,691.76
  6. Step 6: Final answer
    x = 11,000.99

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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.