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Finding the Fourth Proportional to 26,427, 39,689.70 and 25,369.92

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Solution

The fourth proportional to 26,427, 39,689.70 and 25,369.92 is: 38,102.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,427 : 39,689.70 = 25,369.92 : x
  2. Step 2: Convert to fraction form
    26,427/39,689.70 = 25,369.92/x
  3. Step 3: Cross multiply
    26,427x = 39,689.70 × 25,369.92
  4. Step 4: Simplify right side
    26,427x = 1,006,924,513.82
  5. Step 5: Solve for x
    x = 1,006,924,513.82/26,427
  6. Step 6: Final answer
    x = 38,102.11

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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.