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Finding the Fourth Proportional to 2,135.64, 3,204.90 and 981.48

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Solution

The fourth proportional to 2,135.64, 3,204.90 and 981.48 is: 1,472.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.64 : 3,204.90 = 981.48 : x
  2. Step 2: Convert to fraction form
    2,135.64/3,204.90 = 981.48/x
  3. Step 3: Cross multiply
    2,135.64x = 3,204.90 × 981.48
  4. Step 4: Simplify right side
    2,135.64x = 3,145,545.25
  5. Step 5: Solve for x
    x = 3,145,545.25/2,135.64
  6. Step 6: Final answer
    x = 1,472.88

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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.