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Finding the Fourth Proportional to 27,478.40, 41,219.92 and 8,761.10

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Solution

The fourth proportional to 27,478.40, 41,219.92 and 8,761.10 is: 13,142.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,478.40 : 41,219.92 = 8,761.10 : x
  2. Step 2: Convert to fraction form
    27,478.40/41,219.92 = 8,761.10/x
  3. Step 3: Cross multiply
    27,478.40x = 41,219.92 × 8,761.10
  4. Step 4: Simplify right side
    27,478.40x = 361,131,841.11
  5. Step 5: Solve for x
    x = 361,131,841.11/27,478.40
  6. Step 6: Final answer
    x = 13,142.39

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1.5x scale

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.