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Finding the Fourth Proportional to 37,892.68, 56,855.40 and 20,342

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Solution

The fourth proportional to 37,892.68, 56,855.40 and 20,342 is: 30,521.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,892.68 : 56,855.40 = 20,342 : x
  2. Step 2: Convert to fraction form
    37,892.68/56,855.40 = 20,342/x
  3. Step 3: Cross multiply
    37,892.68x = 56,855.40 × 20,342
  4. Step 4: Simplify right side
    37,892.68x = 1,156,552,546.80
  5. Step 5: Solve for x
    x = 1,156,552,546.80/37,892.68
  6. Step 6: Final answer
    x = 30,521.79

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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.