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Finding the Fourth Proportional to 2,915.96, 4,373.82 and 724.70

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Solution

The fourth proportional to 2,915.96, 4,373.82 and 724.70 is: 1,087.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,915.96 : 4,373.82 = 724.70 : x
  2. Step 2: Convert to fraction form
    2,915.96/4,373.82 = 724.70/x
  3. Step 3: Cross multiply
    2,915.96x = 4,373.82 × 724.70
  4. Step 4: Simplify right side
    2,915.96x = 3,169,718.29
  5. Step 5: Solve for x
    x = 3,169,718.29/2,915.96
  6. Step 6: Final answer
    x = 1,087.03

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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.