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Finding the Fourth Proportional to 2,634.36, 3,953.40 and 991.92

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Solution

The fourth proportional to 2,634.36, 3,953.40 and 991.92 is: 1,488.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634.36 : 3,953.40 = 991.92 : x
  2. Step 2: Convert to fraction form
    2,634.36/3,953.40 = 991.92/x
  3. Step 3: Cross multiply
    2,634.36x = 3,953.40 × 991.92
  4. Step 4: Simplify right side
    2,634.36x = 3,921,456.53
  5. Step 5: Solve for x
    x = 3,921,456.53/2,634.36
  6. Step 6: Final answer
    x = 1,488.58

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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.