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Finding the Fourth Proportional to 5,156.62, 7,731.98 and 3,402.56

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Solution

The fourth proportional to 5,156.62, 7,731.98 and 3,402.56 is: 5,101.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.62 : 7,731.98 = 3,402.56 : x
  2. Step 2: Convert to fraction form
    5,156.62/7,731.98 = 3,402.56/x
  3. Step 3: Cross multiply
    5,156.62x = 7,731.98 × 3,402.56
  4. Step 4: Simplify right side
    5,156.62x = 26,308,525.87
  5. Step 5: Solve for x
    x = 26,308,525.87/5,156.62
  6. Step 6: Final answer
    x = 5,101.89

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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.