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Finding the Fourth Proportional to 12,431, 17,154.78 and 7,463

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Solution

The fourth proportional to 12,431, 17,154.78 and 7,463 is: 10,298.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,431 : 17,154.78 = 7,463 : x
  2. Step 2: Convert to fraction form
    12,431/17,154.78 = 7,463/x
  3. Step 3: Cross multiply
    12,431x = 17,154.78 × 7,463
  4. Step 4: Simplify right side
    12,431x = 128,026,123.14
  5. Step 5: Solve for x
    x = 128,026,123.14/12,431
  6. Step 6: Final answer
    x = 10,298.94

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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.