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Finding the Fourth Proportional to 37,431, 51,654.88 and 20,664

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Solution

The fourth proportional to 37,431, 51,654.88 and 20,664 is: 28,516.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,431 : 51,654.88 = 20,664 : x
  2. Step 2: Convert to fraction form
    37,431/51,654.88 = 20,664/x
  3. Step 3: Cross multiply
    37,431x = 51,654.88 × 20,664
  4. Step 4: Simplify right side
    37,431x = 1,067,396,440.32
  5. Step 5: Solve for x
    x = 1,067,396,440.32/37,431
  6. Step 6: Final answer
    x = 28,516.38

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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.