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Finding the Fourth Proportional to 2,597.60, 3,896.49 and 649.91

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Solution

The fourth proportional to 2,597.60, 3,896.49 and 649.91 is: 974.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.60 : 3,896.49 = 649.91 : x
  2. Step 2: Convert to fraction form
    2,597.60/3,896.49 = 649.91/x
  3. Step 3: Cross multiply
    2,597.60x = 3,896.49 × 649.91
  4. Step 4: Simplify right side
    2,597.60x = 2,532,367.82
  5. Step 5: Solve for x
    x = 2,532,367.82/2,597.60
  6. Step 6: Final answer
    x = 974.89

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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.