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Finding the Fourth Proportional to 5,173.28, 7,770.96 and 4,938.32

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Solution

The fourth proportional to 5,173.28, 7,770.96 and 4,938.32 is: 7,418.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,173.28 : 7,770.96 = 4,938.32 : x
  2. Step 2: Convert to fraction form
    5,173.28/7,770.96 = 4,938.32/x
  3. Step 3: Cross multiply
    5,173.28x = 7,770.96 × 4,938.32
  4. Step 4: Simplify right side
    5,173.28x = 38,375,487.19
  5. Step 5: Solve for x
    x = 38,375,487.19/5,173.28
  6. Step 6: Final answer
    x = 7,418.02

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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.