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Finding the Fourth Proportional to 2,915.34, 4,372.96 and 724.08

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Solution

The fourth proportional to 2,915.34, 4,372.96 and 724.08 is: 1,086.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,915.34 : 4,372.96 = 724.08 : x
  2. Step 2: Convert to fraction form
    2,915.34/4,372.96 = 724.08/x
  3. Step 3: Cross multiply
    2,915.34x = 4,372.96 × 724.08
  4. Step 4: Simplify right side
    2,915.34x = 3,166,388.82
  5. Step 5: Solve for x
    x = 3,166,388.82/2,915.34
  6. Step 6: Final answer
    x = 1,086.11

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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.