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Finding the Fourth Proportional to 18,146, 25,043.64 and 10,694

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Solution

The fourth proportional to 18,146, 25,043.64 and 10,694 is: 14,758.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,146 : 25,043.64 = 10,694 : x
  2. Step 2: Convert to fraction form
    18,146/25,043.64 = 10,694/x
  3. Step 3: Cross multiply
    18,146x = 25,043.64 × 10,694
  4. Step 4: Simplify right side
    18,146x = 267,816,686.16
  5. Step 5: Solve for x
    x = 267,816,686.16/18,146
  6. Step 6: Final answer
    x = 14,758.99

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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.