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Finding the Fourth Proportional to 1,282.83, 1,921.20 and 1,256.70

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Solution

The fourth proportional to 1,282.83, 1,921.20 and 1,256.70 is: 1,882.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.83 : 1,921.20 = 1,256.70 : x
  2. Step 2: Convert to fraction form
    1,282.83/1,921.20 = 1,256.70/x
  3. Step 3: Cross multiply
    1,282.83x = 1,921.20 × 1,256.70
  4. Step 4: Simplify right side
    1,282.83x = 2,414,372.04
  5. Step 5: Solve for x
    x = 2,414,372.04/1,282.83
  6. Step 6: Final answer
    x = 1,882.07

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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.