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Finding the Fourth Proportional to 2,659.98, 3,989.97 and 928.61

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Solution

The fourth proportional to 2,659.98, 3,989.97 and 928.61 is: 1,392.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.98 : 3,989.97 = 928.61 : x
  2. Step 2: Convert to fraction form
    2,659.98/3,989.97 = 928.61/x
  3. Step 3: Cross multiply
    2,659.98x = 3,989.97 × 928.61
  4. Step 4: Simplify right side
    2,659.98x = 3,705,126.04
  5. Step 5: Solve for x
    x = 3,705,126.04/2,659.98
  6. Step 6: Final answer
    x = 1,392.92

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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.