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Finding the Fourth Proportional to 26,978.34, 40,467.90 and 10,339.22

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Solution

The fourth proportional to 26,978.34, 40,467.90 and 10,339.22 is: 15,508.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,978.34 : 40,467.90 = 10,339.22 : x
  2. Step 2: Convert to fraction form
    26,978.34/40,467.90 = 10,339.22/x
  3. Step 3: Cross multiply
    26,978.34x = 40,467.90 × 10,339.22
  4. Step 4: Simplify right side
    26,978.34x = 418,406,318.70
  5. Step 5: Solve for x
    x = 418,406,318.70/26,978.34
  6. Step 6: Final answer
    x = 15,508.97

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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.