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Finding the Fourth Proportional to 5,376.72, 7,419.78 and 2,986.68

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Solution

The fourth proportional to 5,376.72, 7,419.78 and 2,986.68 is: 4,121.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,376.72 : 7,419.78 = 2,986.68 : x
  2. Step 2: Convert to fraction form
    5,376.72/7,419.78 = 2,986.68/x
  3. Step 3: Cross multiply
    5,376.72x = 7,419.78 × 2,986.68
  4. Step 4: Simplify right side
    5,376.72x = 22,160,508.53
  5. Step 5: Solve for x
    x = 22,160,508.53/5,376.72
  6. Step 6: Final answer
    x = 4,121.57

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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.