Home / 3,842.14-5,302.11-2,270.20

Finding the Fourth Proportional to 3,842.14, 5,302.11 and 2,270.20

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Solution

The fourth proportional to 3,842.14, 5,302.11 and 2,270.20 is: 3,132.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.14 : 5,302.11 = 2,270.20 : x
  2. Step 2: Convert to fraction form
    3,842.14/5,302.11 = 2,270.20/x
  3. Step 3: Cross multiply
    3,842.14x = 5,302.11 × 2,270.20
  4. Step 4: Simplify right side
    3,842.14x = 12,036,850.12
  5. Step 5: Solve for x
    x = 12,036,850.12/3,842.14
  6. Step 6: Final answer
    x = 3,132.85

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1.5x scale

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.