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Finding the Fourth Proportional to 2,572.75, 3,550.80 and 1,524.61

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Solution

The fourth proportional to 2,572.75, 3,550.80 and 1,524.61 is: 2,104.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.75 : 3,550.80 = 1,524.61 : x
  2. Step 2: Convert to fraction form
    2,572.75/3,550.80 = 1,524.61/x
  3. Step 3: Cross multiply
    2,572.75x = 3,550.80 × 1,524.61
  4. Step 4: Simplify right side
    2,572.75x = 5,413,585.19
  5. Step 5: Solve for x
    x = 5,413,585.19/2,572.75
  6. Step 6: Final answer
    x = 2,104.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.