Home / 2,171.26-3,257.40-710.41

Finding the Fourth Proportional to 2,171.26, 3,257.40 and 710.41

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Solution

The fourth proportional to 2,171.26, 3,257.40 and 710.41 is: 1,065.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.26 : 3,257.40 = 710.41 : x
  2. Step 2: Convert to fraction form
    2,171.26/3,257.40 = 710.41/x
  3. Step 3: Cross multiply
    2,171.26x = 3,257.40 × 710.41
  4. Step 4: Simplify right side
    2,171.26x = 2,314,089.53
  5. Step 5: Solve for x
    x = 2,314,089.53/2,171.26
  6. Step 6: Final answer
    x = 1,065.78

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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.