Home / 1,742.20-2,610.92-961.03

Finding the Fourth Proportional to 1,742.20, 2,610.92 and 961.03

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Solution

The fourth proportional to 1,742.20, 2,610.92 and 961.03 is: 1,440.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.20 : 2,610.92 = 961.03 : x
  2. Step 2: Convert to fraction form
    1,742.20/2,610.92 = 961.03/x
  3. Step 3: Cross multiply
    1,742.20x = 2,610.92 × 961.03
  4. Step 4: Simplify right side
    1,742.20x = 2,509,178.11
  5. Step 5: Solve for x
    x = 2,509,178.11/1,742.20
  6. Step 6: Final answer
    x = 1,440.24

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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.