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Finding the Fourth Proportional to 2,502.64, 3,753.96 and 1,040.80

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Solution

The fourth proportional to 2,502.64, 3,753.96 and 1,040.80 is: 1,561.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.64 : 3,753.96 = 1,040.80 : x
  2. Step 2: Convert to fraction form
    2,502.64/3,753.96 = 1,040.80/x
  3. Step 3: Cross multiply
    2,502.64x = 3,753.96 × 1,040.80
  4. Step 4: Simplify right side
    2,502.64x = 3,907,121.57
  5. Step 5: Solve for x
    x = 3,907,121.57/2,502.64
  6. Step 6: Final answer
    x = 1,561.20

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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.