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Finding the Fourth Proportional to 2,862.97, 4,294.45 and 915.32

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Solution

The fourth proportional to 2,862.97, 4,294.45 and 915.32 is: 1,372.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.97 : 4,294.45 = 915.32 : x
  2. Step 2: Convert to fraction form
    2,862.97/4,294.45 = 915.32/x
  3. Step 3: Cross multiply
    2,862.97x = 4,294.45 × 915.32
  4. Step 4: Simplify right side
    2,862.97x = 3,930,795.97
  5. Step 5: Solve for x
    x = 3,930,795.97/2,862.97
  6. Step 6: Final answer
    x = 1,372.98

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1.5x scale

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.