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Finding the Fourth Proportional to 5,534.56, 7,638 and 3,177.20

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Solution

The fourth proportional to 5,534.56, 7,638 and 3,177.20 is: 4,384.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,534.56 : 7,638 = 3,177.20 : x
  2. Step 2: Convert to fraction form
    5,534.56/7,638 = 3,177.20/x
  3. Step 3: Cross multiply
    5,534.56x = 7,638 × 3,177.20
  4. Step 4: Simplify right side
    5,534.56x = 24,267,453.60
  5. Step 5: Solve for x
    x = 24,267,453.60/5,534.56
  6. Step 6: Final answer
    x = 4,384.71

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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.