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Finding the Fourth Proportional to 37,893.68, 56,856.90 and 20,343

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Solution

The fourth proportional to 37,893.68, 56,856.90 and 20,343 is: 30,523.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,893.68 : 56,856.90 = 20,343 : x
  2. Step 2: Convert to fraction form
    37,893.68/56,856.90 = 20,343/x
  3. Step 3: Cross multiply
    37,893.68x = 56,856.90 × 20,343
  4. Step 4: Simplify right side
    37,893.68x = 1,156,639,916.70
  5. Step 5: Solve for x
    x = 1,156,639,916.70/37,893.68
  6. Step 6: Final answer
    x = 30,523.29

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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.