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Finding the Fourth Proportional to 1,660.89, 2,486 and 1,104.31

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Solution

The fourth proportional to 1,660.89, 2,486 and 1,104.31 is: 1,652.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.89 : 2,486 = 1,104.31 : x
  2. Step 2: Convert to fraction form
    1,660.89/2,486 = 1,104.31/x
  3. Step 3: Cross multiply
    1,660.89x = 2,486 × 1,104.31
  4. Step 4: Simplify right side
    1,660.89x = 2,745,314.66
  5. Step 5: Solve for x
    x = 2,745,314.66/1,660.89
  6. Step 6: Final answer
    x = 1,652.92

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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.