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Finding the Fourth Proportional to 5,115.98, 7,684.23 and 4,947.86

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Solution

The fourth proportional to 5,115.98, 7,684.23 and 4,947.86 is: 7,431.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,115.98 : 7,684.23 = 4,947.86 : x
  2. Step 2: Convert to fraction form
    5,115.98/7,684.23 = 4,947.86/x
  3. Step 3: Cross multiply
    5,115.98x = 7,684.23 × 4,947.86
  4. Step 4: Simplify right side
    5,115.98x = 38,020,494.25
  5. Step 5: Solve for x
    x = 38,020,494.25/5,115.98
  6. Step 6: Final answer
    x = 7,431.71

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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.