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Finding the Fourth Proportional to 1,968.28, 2,949.67 and 1,480.76

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Solution

The fourth proportional to 1,968.28, 2,949.67 and 1,480.76 is: 2,219.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.28 : 2,949.67 = 1,480.76 : x
  2. Step 2: Convert to fraction form
    1,968.28/2,949.67 = 1,480.76/x
  3. Step 3: Cross multiply
    1,968.28x = 2,949.67 × 1,480.76
  4. Step 4: Simplify right side
    1,968.28x = 4,367,753.35
  5. Step 5: Solve for x
    x = 4,367,753.35/1,968.28
  6. Step 6: Final answer
    x = 2,219.07

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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.