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Finding the Fourth Proportional to 5,174.56, 7,127.28 and 3,977.25

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Solution

The fourth proportional to 5,174.56, 7,127.28 and 3,977.25 is: 5,478.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.56 : 7,127.28 = 3,977.25 : x
  2. Step 2: Convert to fraction form
    5,174.56/7,127.28 = 3,977.25/x
  3. Step 3: Cross multiply
    5,174.56x = 7,127.28 × 3,977.25
  4. Step 4: Simplify right side
    5,174.56x = 28,347,002.66
  5. Step 5: Solve for x
    x = 28,347,002.66/5,174.56
  6. Step 6: Final answer
    x = 5,478.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.