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Finding the Fourth Proportional to 5,077.09, 7,614.01 and 1,613.53

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Solution

The fourth proportional to 5,077.09, 7,614.01 and 1,613.53 is: 2,419.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,077.09 : 7,614.01 = 1,613.53 : x
  2. Step 2: Convert to fraction form
    5,077.09/7,614.01 = 1,613.53/x
  3. Step 3: Cross multiply
    5,077.09x = 7,614.01 × 1,613.53
  4. Step 4: Simplify right side
    5,077.09x = 12,285,433.56
  5. Step 5: Solve for x
    x = 12,285,433.56/5,077.09
  6. Step 6: Final answer
    x = 2,419.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.