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Finding the Fourth Proportional to 2,230.65, 3,347.46 and 915.48

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Solution

The fourth proportional to 2,230.65, 3,347.46 and 915.48 is: 1,373.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.65 : 3,347.46 = 915.48 : x
  2. Step 2: Convert to fraction form
    2,230.65/3,347.46 = 915.48/x
  3. Step 3: Cross multiply
    2,230.65x = 3,347.46 × 915.48
  4. Step 4: Simplify right side
    2,230.65x = 3,064,532.68
  5. Step 5: Solve for x
    x = 3,064,532.68/2,230.65
  6. Step 6: Final answer
    x = 1,373.83

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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.