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Finding the Fourth Proportional to 26,915.88, 40,379.22 and 9,381

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Solution

The fourth proportional to 26,915.88, 40,379.22 and 9,381 is: 14,073.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,915.88 : 40,379.22 = 9,381 : x
  2. Step 2: Convert to fraction form
    26,915.88/40,379.22 = 9,381/x
  3. Step 3: Cross multiply
    26,915.88x = 40,379.22 × 9,381
  4. Step 4: Simplify right side
    26,915.88x = 378,797,462.82
  5. Step 5: Solve for x
    x = 378,797,462.82/26,915.88
  6. Step 6: Final answer
    x = 14,073.38

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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.