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Finding the Fourth Proportional to 17,142.84, 23,660.91 and 10,854

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Solution

The fourth proportional to 17,142.84, 23,660.91 and 10,854 is: 14,980.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,142.84 : 23,660.91 = 10,854 : x
  2. Step 2: Convert to fraction form
    17,142.84/23,660.91 = 10,854/x
  3. Step 3: Cross multiply
    17,142.84x = 23,660.91 × 10,854
  4. Step 4: Simplify right side
    17,142.84x = 256,815,517.14
  5. Step 5: Solve for x
    x = 256,815,517.14/17,142.84
  6. Step 6: Final answer
    x = 14,980.92

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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.