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Finding the Fourth Proportional to 22,758, 34,142.76 and 6,342

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Solution

The fourth proportional to 22,758, 34,142.76 and 6,342 is: 9,514.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,758 : 34,142.76 = 6,342 : x
  2. Step 2: Convert to fraction form
    22,758/34,142.76 = 6,342/x
  3. Step 3: Cross multiply
    22,758x = 34,142.76 × 6,342
  4. Step 4: Simplify right side
    22,758x = 216,533,383.92
  5. Step 5: Solve for x
    x = 216,533,383.92/22,758
  6. Step 6: Final answer
    x = 9,514.61

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Why These Related Problems?

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