Home / 2,171.28-3,257.61-710.10

Finding the Fourth Proportional to 2,171.28, 3,257.61 and 710.10

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Solution

The fourth proportional to 2,171.28, 3,257.61 and 710.10 is: 1,065.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.28 : 3,257.61 = 710.10 : x
  2. Step 2: Convert to fraction form
    2,171.28/3,257.61 = 710.10/x
  3. Step 3: Cross multiply
    2,171.28x = 3,257.61 × 710.10
  4. Step 4: Simplify right side
    2,171.28x = 2,313,228.86
  5. Step 5: Solve for x
    x = 2,313,228.86/2,171.28
  6. Step 6: Final answer
    x = 1,065.38

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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.