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Finding the Fourth Proportional to 12,750, 19,122.28 and 5,352.56

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Solution

The fourth proportional to 12,750, 19,122.28 and 5,352.56 is: 8,027.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,750 : 19,122.28 = 5,352.56 : x
  2. Step 2: Convert to fraction form
    12,750/19,122.28 = 5,352.56/x
  3. Step 3: Cross multiply
    12,750x = 19,122.28 × 5,352.56
  4. Step 4: Simplify right side
    12,750x = 102,353,151.04
  5. Step 5: Solve for x
    x = 102,353,151.04/12,750
  6. Step 6: Final answer
    x = 8,027.70

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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.