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Finding the Fourth Proportional to 5,481, 7,563.78 and 3,124.53

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Solution

The fourth proportional to 5,481, 7,563.78 and 3,124.53 is: 4,311.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,481 : 7,563.78 = 3,124.53 : x
  2. Step 2: Convert to fraction form
    5,481/7,563.78 = 3,124.53/x
  3. Step 3: Cross multiply
    5,481x = 7,563.78 × 3,124.53
  4. Step 4: Simplify right side
    5,481x = 23,633,257.52
  5. Step 5: Solve for x
    x = 23,633,257.52/5,481
  6. Step 6: Final answer
    x = 4,311.85

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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.