Home / 2,278.87-3,416.89-961.95

Finding the Fourth Proportional to 2,278.87, 3,416.89 and 961.95

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Solution

The fourth proportional to 2,278.87, 3,416.89 and 961.95 is: 1,442.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.87 : 3,416.89 = 961.95 : x
  2. Step 2: Convert to fraction form
    2,278.87/3,416.89 = 961.95/x
  3. Step 3: Cross multiply
    2,278.87x = 3,416.89 × 961.95
  4. Step 4: Simplify right side
    2,278.87x = 3,286,877.34
  5. Step 5: Solve for x
    x = 3,286,877.34/2,278.87
  6. Step 6: Final answer
    x = 1,442.33

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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.