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Finding the Fourth Proportional to 8,472.21, 11,691.67 and 4,695.43

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Solution

The fourth proportional to 8,472.21, 11,691.67 and 4,695.43 is: 6,479.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472.21 : 11,691.67 = 4,695.43 : x
  2. Step 2: Convert to fraction form
    8,472.21/11,691.67 = 4,695.43/x
  3. Step 3: Cross multiply
    8,472.21x = 11,691.67 × 4,695.43
  4. Step 4: Simplify right side
    8,472.21x = 54,897,418.07
  5. Step 5: Solve for x
    x = 54,897,418.07/8,472.21
  6. Step 6: Final answer
    x = 6,479.70

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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.