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Finding the Fourth Proportional to 12,275.46, 18,422.52 and 8,997.12

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Solution

The fourth proportional to 12,275.46, 18,422.52 and 8,997.12 is: 13,502.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,275.46 : 18,422.52 = 8,997.12 : x
  2. Step 2: Convert to fraction form
    12,275.46/18,422.52 = 8,997.12/x
  3. Step 3: Cross multiply
    12,275.46x = 18,422.52 × 8,997.12
  4. Step 4: Simplify right side
    12,275.46x = 165,749,623.14
  5. Step 5: Solve for x
    x = 165,749,623.14/12,275.46
  6. Step 6: Final answer
    x = 13,502.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.