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Finding the Fourth Proportional to 13,025.12, 19,542 and 8,659.76

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Solution

The fourth proportional to 13,025.12, 19,542 and 8,659.76 is: 12,992.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,025.12 : 19,542 = 8,659.76 : x
  2. Step 2: Convert to fraction form
    13,025.12/19,542 = 8,659.76/x
  3. Step 3: Cross multiply
    13,025.12x = 19,542 × 8,659.76
  4. Step 4: Simplify right side
    13,025.12x = 169,229,029.92
  5. Step 5: Solve for x
    x = 169,229,029.92/13,025.12
  6. Step 6: Final answer
    x = 12,992.51

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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.