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Finding the Fourth Proportional to 26,458.20, 39,662 and 9,813.78

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Solution

The fourth proportional to 26,458.20, 39,662 and 9,813.78 is: 14,711.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,458.20 : 39,662 = 9,813.78 : x
  2. Step 2: Convert to fraction form
    26,458.20/39,662 = 9,813.78/x
  3. Step 3: Cross multiply
    26,458.20x = 39,662 × 9,813.78
  4. Step 4: Simplify right side
    26,458.20x = 389,234,142.36
  5. Step 5: Solve for x
    x = 389,234,142.36/26,458.20
  6. Step 6: Final answer
    x = 14,711.29

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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.