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Finding the Fourth Proportional to 2,301.48, 3,449.88 and 915.80

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Solution

The fourth proportional to 2,301.48, 3,449.88 and 915.80 is: 1,372.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.48 : 3,449.88 = 915.80 : x
  2. Step 2: Convert to fraction form
    2,301.48/3,449.88 = 915.80/x
  3. Step 3: Cross multiply
    2,301.48x = 3,449.88 × 915.80
  4. Step 4: Simplify right side
    2,301.48x = 3,159,382.85
  5. Step 5: Solve for x
    x = 3,159,382.85/2,301.48
  6. Step 6: Final answer
    x = 1,372.76

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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.