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Finding the Fourth Proportional to 5,255.66, 7,882.49 and 1,968.05

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Solution

The fourth proportional to 5,255.66, 7,882.49 and 1,968.05 is: 2,951.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,255.66 : 7,882.49 = 1,968.05 : x
  2. Step 2: Convert to fraction form
    5,255.66/7,882.49 = 1,968.05/x
  3. Step 3: Cross multiply
    5,255.66x = 7,882.49 × 1,968.05
  4. Step 4: Simplify right side
    5,255.66x = 15,513,099.95
  5. Step 5: Solve for x
    x = 15,513,099.95/5,255.66
  6. Step 6: Final answer
    x = 2,951.70

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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.