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Finding the Fourth Proportional to 31,781.30, 47,672.32 and 9,594.90

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Solution

The fourth proportional to 31,781.30, 47,672.32 and 9,594.90 is: 14,392.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,781.30 : 47,672.32 = 9,594.90 : x
  2. Step 2: Convert to fraction form
    31,781.30/47,672.32 = 9,594.90/x
  3. Step 3: Cross multiply
    31,781.30x = 47,672.32 × 9,594.90
  4. Step 4: Simplify right side
    31,781.30x = 457,411,143.17
  5. Step 5: Solve for x
    x = 457,411,143.17/31,781.30
  6. Step 6: Final answer
    x = 14,392.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.