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Finding the Fourth Proportional to 3,606.68, 5,398.24 and 1,959.12

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Solution

The fourth proportional to 3,606.68, 5,398.24 and 1,959.12 is: 2,932.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.68 : 5,398.24 = 1,959.12 : x
  2. Step 2: Convert to fraction form
    3,606.68/5,398.24 = 1,959.12/x
  3. Step 3: Cross multiply
    3,606.68x = 5,398.24 × 1,959.12
  4. Step 4: Simplify right side
    3,606.68x = 10,575,799.95
  5. Step 5: Solve for x
    x = 10,575,799.95/3,606.68
  6. Step 6: Final answer
    x = 2,932.28

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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.