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Finding the Fourth Proportional to 25,869.27, 38,807.96 and 8,340.87

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Solution

The fourth proportional to 25,869.27, 38,807.96 and 8,340.87 is: 12,512.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,869.27 : 38,807.96 = 8,340.87 : x
  2. Step 2: Convert to fraction form
    25,869.27/38,807.96 = 8,340.87/x
  3. Step 3: Cross multiply
    25,869.27x = 38,807.96 × 8,340.87
  4. Step 4: Simplify right side
    25,869.27x = 323,692,300.07
  5. Step 5: Solve for x
    x = 323,692,300.07/25,869.27
  6. Step 6: Final answer
    x = 12,512.62

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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.