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Finding the Fourth Proportional to 10,638, 15,959.56 and 3,342

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Solution

The fourth proportional to 10,638, 15,959.56 and 3,342 is: 5,013.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638 : 15,959.56 = 3,342 : x
  2. Step 2: Convert to fraction form
    10,638/15,959.56 = 3,342/x
  3. Step 3: Cross multiply
    10,638x = 15,959.56 × 3,342
  4. Step 4: Simplify right side
    10,638x = 53,336,849.52
  5. Step 5: Solve for x
    x = 53,336,849.52/10,638
  6. Step 6: Final answer
    x = 5,013.80

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