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Finding the Fourth Proportional to 12,497.87, 17,223.30 and 8,954.93

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Solution

The fourth proportional to 12,497.87, 17,223.30 and 8,954.93 is: 12,340.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497.87 : 17,223.30 = 8,954.93 : x
  2. Step 2: Convert to fraction form
    12,497.87/17,223.30 = 8,954.93/x
  3. Step 3: Cross multiply
    12,497.87x = 17,223.30 × 8,954.93
  4. Step 4: Simplify right side
    12,497.87x = 154,233,359.75
  5. Step 5: Solve for x
    x = 154,233,359.75/12,497.87
  6. Step 6: Final answer
    x = 12,340.78

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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.