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Finding the Fourth Proportional to 20,951.89, 31,432.47 and 6,916.26

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Solution

The fourth proportional to 20,951.89, 31,432.47 and 6,916.26 is: 10,375.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,951.89 : 31,432.47 = 6,916.26 : x
  2. Step 2: Convert to fraction form
    20,951.89/31,432.47 = 6,916.26/x
  3. Step 3: Cross multiply
    20,951.89x = 31,432.47 × 6,916.26
  4. Step 4: Simplify right side
    20,951.89x = 217,395,134.96
  5. Step 5: Solve for x
    x = 217,395,134.96/20,951.89
  6. Step 6: Final answer
    x = 10,375.92

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1.5x scale

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.