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Finding the Fourth Proportional to 1,842.79, 2,761.87 and 1,102.95

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Solution

The fourth proportional to 1,842.79, 2,761.87 and 1,102.95 is: 1,653.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.79 : 2,761.87 = 1,102.95 : x
  2. Step 2: Convert to fraction form
    1,842.79/2,761.87 = 1,102.95/x
  3. Step 3: Cross multiply
    1,842.79x = 2,761.87 × 1,102.95
  4. Step 4: Simplify right side
    1,842.79x = 3,046,204.52
  5. Step 5: Solve for x
    x = 3,046,204.52/1,842.79
  6. Step 6: Final answer
    x = 1,653.04

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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.