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Finding the Fourth Proportional to 1,842.81, 2,766.98 and 1,585.61

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Solution

The fourth proportional to 1,842.81, 2,766.98 and 1,585.61 is: 2,380.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.81 : 2,766.98 = 1,585.61 : x
  2. Step 2: Convert to fraction form
    1,842.81/2,766.98 = 1,585.61/x
  3. Step 3: Cross multiply
    1,842.81x = 2,766.98 × 1,585.61
  4. Step 4: Simplify right side
    1,842.81x = 4,387,355.12
  5. Step 5: Solve for x
    x = 4,387,355.12/1,842.81
  6. Step 6: Final answer
    x = 2,380.80

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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.