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Finding the Fourth Proportional to 31,272, 46,881.60 and 21,387.04

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Solution

The fourth proportional to 31,272, 46,881.60 and 21,387.04 is: 32,062.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,272 : 46,881.60 = 21,387.04 : x
  2. Step 2: Convert to fraction form
    31,272/46,881.60 = 21,387.04/x
  3. Step 3: Cross multiply
    31,272x = 46,881.60 × 21,387.04
  4. Step 4: Simplify right side
    31,272x = 1,002,658,654.46
  5. Step 5: Solve for x
    x = 1,002,658,654.46/31,272
  6. Step 6: Final answer
    x = 32,062.50

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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.