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Finding the Fourth Proportional to 7,502.64, 11,255.33 and 2,572.78

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Solution

The fourth proportional to 7,502.64, 11,255.33 and 2,572.78 is: 3,859.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,502.64 : 11,255.33 = 2,572.78 : x
  2. Step 2: Convert to fraction form
    7,502.64/11,255.33 = 2,572.78/x
  3. Step 3: Cross multiply
    7,502.64x = 11,255.33 × 2,572.78
  4. Step 4: Simplify right side
    7,502.64x = 28,957,487.31
  5. Step 5: Solve for x
    x = 28,957,487.31/7,502.64
  6. Step 6: Final answer
    x = 3,859.64

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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.