Home / 2,972.24-4,101.96-1,730

Finding the Fourth Proportional to 2,972.24, 4,101.96 and 1,730

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Solution

The fourth proportional to 2,972.24, 4,101.96 and 1,730 is: 2,387.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.24 : 4,101.96 = 1,730 : x
  2. Step 2: Convert to fraction form
    2,972.24/4,101.96 = 1,730/x
  3. Step 3: Cross multiply
    2,972.24x = 4,101.96 × 1,730
  4. Step 4: Simplify right side
    2,972.24x = 7,096,390.80
  5. Step 5: Solve for x
    x = 7,096,390.80/2,972.24
  6. Step 6: Final answer
    x = 2,387.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.