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Finding the Fourth Proportional to 31,669.32, 47,520.18 and 12,963.18

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Solution

The fourth proportional to 31,669.32, 47,520.18 and 12,963.18 is: 19,451.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,669.32 : 47,520.18 = 12,963.18 : x
  2. Step 2: Convert to fraction form
    31,669.32/47,520.18 = 12,963.18/x
  3. Step 3: Cross multiply
    31,669.32x = 47,520.18 × 12,963.18
  4. Step 4: Simplify right side
    31,669.32x = 616,012,646.97
  5. Step 5: Solve for x
    x = 616,012,646.97/31,669.32
  6. Step 6: Final answer
    x = 19,451.40

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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.