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Finding the Fourth Proportional to 14,691.67, 20,274.39 and 7,977.17

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Solution

The fourth proportional to 14,691.67, 20,274.39 and 7,977.17 is: 11,008.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,691.67 : 20,274.39 = 7,977.17 : x
  2. Step 2: Convert to fraction form
    14,691.67/20,274.39 = 7,977.17/x
  3. Step 3: Cross multiply
    14,691.67x = 20,274.39 × 7,977.17
  4. Step 4: Simplify right side
    14,691.67x = 161,732,255.68
  5. Step 5: Solve for x
    x = 161,732,255.68/14,691.67
  6. Step 6: Final answer
    x = 11,008.43

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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.