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Finding the Fourth Proportional to 5,115.96, 7,677.18 and 2,928.96

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Solution

The fourth proportional to 5,115.96, 7,677.18 and 2,928.96 is: 4,395.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,115.96 : 7,677.18 = 2,928.96 : x
  2. Step 2: Convert to fraction form
    5,115.96/7,677.18 = 2,928.96/x
  3. Step 3: Cross multiply
    5,115.96x = 7,677.18 × 2,928.96
  4. Step 4: Simplify right side
    5,115.96x = 22,486,153.13
  5. Step 5: Solve for x
    x = 22,486,153.13/5,115.96
  6. Step 6: Final answer
    x = 4,395.29

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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.