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Finding the Fourth Proportional to 1,863.99, 2,571.96 and 1,200.78

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Solution

The fourth proportional to 1,863.99, 2,571.96 and 1,200.78 is: 1,656.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.99 : 2,571.96 = 1,200.78 : x
  2. Step 2: Convert to fraction form
    1,863.99/2,571.96 = 1,200.78/x
  3. Step 3: Cross multiply
    1,863.99x = 2,571.96 × 1,200.78
  4. Step 4: Simplify right side
    1,863.99x = 3,088,358.13
  5. Step 5: Solve for x
    x = 3,088,358.13/1,863.99
  6. Step 6: Final answer
    x = 1,656.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.