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Finding the Fourth Proportional to 2,995.30, 4,492.78 and 915.28

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Solution

The fourth proportional to 2,995.30, 4,492.78 and 915.28 is: 1,372.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,995.30 : 4,492.78 = 915.28 : x
  2. Step 2: Convert to fraction form
    2,995.30/4,492.78 = 915.28/x
  3. Step 3: Cross multiply
    2,995.30x = 4,492.78 × 915.28
  4. Step 4: Simplify right side
    2,995.30x = 4,112,151.68
  5. Step 5: Solve for x
    x = 4,112,151.68/2,995.30
  6. Step 6: Final answer
    x = 1,372.87

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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.