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Finding the Fourth Proportional to 2,641.76, 3,959.48 and 1,234.28

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Solution

The fourth proportional to 2,641.76, 3,959.48 and 1,234.28 is: 1,849.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.76 : 3,959.48 = 1,234.28 : x
  2. Step 2: Convert to fraction form
    2,641.76/3,959.48 = 1,234.28/x
  3. Step 3: Cross multiply
    2,641.76x = 3,959.48 × 1,234.28
  4. Step 4: Simplify right side
    2,641.76x = 4,887,106.97
  5. Step 5: Solve for x
    x = 4,887,106.97/2,641.76
  6. Step 6: Final answer
    x = 1,849.94

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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.