Home / 2,097.20-3,145.77-710.52

Finding the Fourth Proportional to 2,097.20, 3,145.77 and 710.52

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Solution

The fourth proportional to 2,097.20, 3,145.77 and 710.52 is: 1,065.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.20 : 3,145.77 = 710.52 : x
  2. Step 2: Convert to fraction form
    2,097.20/3,145.77 = 710.52/x
  3. Step 3: Cross multiply
    2,097.20x = 3,145.77 × 710.52
  4. Step 4: Simplify right side
    2,097.20x = 2,235,120.70
  5. Step 5: Solve for x
    x = 2,235,120.70/2,097.20
  6. Step 6: Final answer
    x = 1,065.76

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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.