Home / 1,711.06-2,567.36-724.14

Finding the Fourth Proportional to 1,711.06, 2,567.36 and 724.14

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Solution

The fourth proportional to 1,711.06, 2,567.36 and 724.14 is: 1,086.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.06 : 2,567.36 = 724.14 : x
  2. Step 2: Convert to fraction form
    1,711.06/2,567.36 = 724.14/x
  3. Step 3: Cross multiply
    1,711.06x = 2,567.36 × 724.14
  4. Step 4: Simplify right side
    1,711.06x = 1,859,129.88
  5. Step 5: Solve for x
    x = 1,859,129.88/1,711.06
  6. Step 6: Final answer
    x = 1,086.54

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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.