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Finding the Fourth Proportional to 2,597.87, 3,896.20 and 1,281.02

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Solution

The fourth proportional to 2,597.87, 3,896.20 and 1,281.02 is: 1,921.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.87 : 3,896.20 = 1,281.02 : x
  2. Step 2: Convert to fraction form
    2,597.87/3,896.20 = 1,281.02/x
  3. Step 3: Cross multiply
    2,597.87x = 3,896.20 × 1,281.02
  4. Step 4: Simplify right side
    2,597.87x = 4,991,084.24
  5. Step 5: Solve for x
    x = 4,991,084.24/2,597.87
  6. Step 6: Final answer
    x = 1,921.22

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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.