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Finding the Fourth Proportional to 2,261.92, 3,389.98 and 1,968.20

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Solution

The fourth proportional to 2,261.92, 3,389.98 and 1,968.20 is: 2,949.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,261.92 : 3,389.98 = 1,968.20 : x
  2. Step 2: Convert to fraction form
    2,261.92/3,389.98 = 1,968.20/x
  3. Step 3: Cross multiply
    2,261.92x = 3,389.98 × 1,968.20
  4. Step 4: Simplify right side
    2,261.92x = 6,672,158.64
  5. Step 5: Solve for x
    x = 6,672,158.64/2,261.92
  6. Step 6: Final answer
    x = 2,949.78

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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.