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Finding the Fourth Proportional to 24,478.80, 36,723.60 and 7,839.60

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Solution

The fourth proportional to 24,478.80, 36,723.60 and 7,839.60 is: 11,761.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,478.80 : 36,723.60 = 7,839.60 : x
  2. Step 2: Convert to fraction form
    24,478.80/36,723.60 = 7,839.60/x
  3. Step 3: Cross multiply
    24,478.80x = 36,723.60 × 7,839.60
  4. Step 4: Simplify right side
    24,478.80x = 287,898,334.56
  5. Step 5: Solve for x
    x = 287,898,334.56/24,478.80
  6. Step 6: Final answer
    x = 11,761.13

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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.