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Finding the Fourth Proportional to 2,891.88, 4,334.28 and 1,659.90

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Solution

The fourth proportional to 2,891.88, 4,334.28 and 1,659.90 is: 2,487.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.88 : 4,334.28 = 1,659.90 : x
  2. Step 2: Convert to fraction form
    2,891.88/4,334.28 = 1,659.90/x
  3. Step 3: Cross multiply
    2,891.88x = 4,334.28 × 1,659.90
  4. Step 4: Simplify right side
    2,891.88x = 7,194,471.37
  5. Step 5: Solve for x
    x = 7,194,471.37/2,891.88
  6. Step 6: Final answer
    x = 2,487.82

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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.