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Finding the Fourth Proportional to 5,909.78, 8,862.39 and 1,959.83

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Solution

The fourth proportional to 5,909.78, 8,862.39 and 1,959.83 is: 2,939.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,909.78 : 8,862.39 = 1,959.83 : x
  2. Step 2: Convert to fraction form
    5,909.78/8,862.39 = 1,959.83/x
  3. Step 3: Cross multiply
    5,909.78x = 8,862.39 × 1,959.83
  4. Step 4: Simplify right side
    5,909.78x = 17,368,799.95
  5. Step 5: Solve for x
    x = 17,368,799.95/5,909.78
  6. Step 6: Final answer
    x = 2,939.00

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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.