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Finding the Fourth Proportional to 37,432, 51,656.21 and 20,665

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Solution

The fourth proportional to 37,432, 51,656.21 and 20,665 is: 28,517.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,432 : 51,656.21 = 20,665 : x
  2. Step 2: Convert to fraction form
    37,432/51,656.21 = 20,665/x
  3. Step 3: Cross multiply
    37,432x = 51,656.21 × 20,665
  4. Step 4: Simplify right side
    37,432x = 1,067,475,579.65
  5. Step 5: Solve for x
    x = 1,067,475,579.65/37,432
  6. Step 6: Final answer
    x = 28,517.73

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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.