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Finding the Fourth Proportional to 3,693.96, 5,098.50 and 2,515.50

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Solution

The fourth proportional to 3,693.96, 5,098.50 and 2,515.50 is: 3,471.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.96 : 5,098.50 = 2,515.50 : x
  2. Step 2: Convert to fraction form
    3,693.96/5,098.50 = 2,515.50/x
  3. Step 3: Cross multiply
    3,693.96x = 5,098.50 × 2,515.50
  4. Step 4: Simplify right side
    3,693.96x = 12,825,276.75
  5. Step 5: Solve for x
    x = 12,825,276.75/3,693.96
  6. Step 6: Final answer
    x = 3,471.96

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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.