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Finding the Fourth Proportional to 2,659.59, 3,991.50 and 1,564.88

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Solution

The fourth proportional to 2,659.59, 3,991.50 and 1,564.88 is: 2,348.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.59 : 3,991.50 = 1,564.88 : x
  2. Step 2: Convert to fraction form
    2,659.59/3,991.50 = 1,564.88/x
  3. Step 3: Cross multiply
    2,659.59x = 3,991.50 × 1,564.88
  4. Step 4: Simplify right side
    2,659.59x = 6,246,198.56
  5. Step 5: Solve for x
    x = 6,246,198.56/2,659.59
  6. Step 6: Final answer
    x = 2,348.56

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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.