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Finding the Fourth Proportional to 31,873.38, 43,951.05 and 21,264

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Solution

The fourth proportional to 31,873.38, 43,951.05 and 21,264 is: 29,321.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,873.38 : 43,951.05 = 21,264 : x
  2. Step 2: Convert to fraction form
    31,873.38/43,951.05 = 21,264/x
  3. Step 3: Cross multiply
    31,873.38x = 43,951.05 × 21,264
  4. Step 4: Simplify right side
    31,873.38x = 934,575,127.20
  5. Step 5: Solve for x
    x = 934,575,127.20/31,873.38
  6. Step 6: Final answer
    x = 29,321.49

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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.