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Finding the Fourth Proportional to 3,726.92, 5,142.92 and 2,048

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Solution

The fourth proportional to 3,726.92, 5,142.92 and 2,048 is: 2,826.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726.92 : 5,142.92 = 2,048 : x
  2. Step 2: Convert to fraction form
    3,726.92/5,142.92 = 2,048/x
  3. Step 3: Cross multiply
    3,726.92x = 5,142.92 × 2,048
  4. Step 4: Simplify right side
    3,726.92x = 10,532,700.16
  5. Step 5: Solve for x
    x = 10,532,700.16/3,726.92
  6. Step 6: Final answer
    x = 2,826.11

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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.