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Finding the Fourth Proportional to 5,155.62, 7,713.96 and 4,742.52

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Solution

The fourth proportional to 5,155.62, 7,713.96 and 4,742.52 is: 7,095.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,155.62 : 7,713.96 = 4,742.52 : x
  2. Step 2: Convert to fraction form
    5,155.62/7,713.96 = 4,742.52/x
  3. Step 3: Cross multiply
    5,155.62x = 7,713.96 × 4,742.52
  4. Step 4: Simplify right side
    5,155.62x = 36,583,609.58
  5. Step 5: Solve for x
    x = 36,583,609.58/5,155.62
  6. Step 6: Final answer
    x = 7,095.87

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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.