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Finding the Fourth Proportional to 2,915.38, 4,373 and 967.47

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Solution

The fourth proportional to 2,915.38, 4,373 and 967.47 is: 1,451.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,915.38 : 4,373 = 967.47 : x
  2. Step 2: Convert to fraction form
    2,915.38/4,373 = 967.47/x
  3. Step 3: Cross multiply
    2,915.38x = 4,373 × 967.47
  4. Step 4: Simplify right side
    2,915.38x = 4,230,746.31
  5. Step 5: Solve for x
    x = 4,230,746.31/2,915.38
  6. Step 6: Final answer
    x = 1,451.18

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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.