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Finding the Fourth Proportional to 2,597.52, 3,896.29 and 649.73

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Solution

The fourth proportional to 2,597.52, 3,896.29 and 649.73 is: 974.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.52 : 3,896.29 = 649.73 : x
  2. Step 2: Convert to fraction form
    2,597.52/3,896.29 = 649.73/x
  3. Step 3: Cross multiply
    2,597.52x = 3,896.29 × 649.73
  4. Step 4: Simplify right side
    2,597.52x = 2,531,521.48
  5. Step 5: Solve for x
    x = 2,531,521.48/2,597.52
  6. Step 6: Final answer
    x = 974.59

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1.5x scale

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.