Home / 2,178.30-3,265.08-716.40

Finding the Fourth Proportional to 2,178.30, 3,265.08 and 716.40

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Solution

The fourth proportional to 2,178.30, 3,265.08 and 716.40 is: 1,073.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.30 : 3,265.08 = 716.40 : x
  2. Step 2: Convert to fraction form
    2,178.30/3,265.08 = 716.40/x
  3. Step 3: Cross multiply
    2,178.30x = 3,265.08 × 716.40
  4. Step 4: Simplify right side
    2,178.30x = 2,339,103.31
  5. Step 5: Solve for x
    x = 2,339,103.31/2,178.30
  6. Step 6: Final answer
    x = 1,073.82

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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.