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Finding the Fourth Proportional to 2,502.60, 3,753.56 and 653.86

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Solution

The fourth proportional to 2,502.60, 3,753.56 and 653.86 is: 980.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.60 : 3,753.56 = 653.86 : x
  2. Step 2: Convert to fraction form
    2,502.60/3,753.56 = 653.86/x
  3. Step 3: Cross multiply
    2,502.60x = 3,753.56 × 653.86
  4. Step 4: Simplify right side
    2,502.60x = 2,454,302.74
  5. Step 5: Solve for x
    x = 2,454,302.74/2,502.60
  6. Step 6: Final answer
    x = 980.70

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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.