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Finding the Fourth Proportional to 3,842.13, 5,771.03 and 3,390.15

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Solution

The fourth proportional to 3,842.13, 5,771.03 and 3,390.15 is: 5,092.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.13 : 5,771.03 = 3,390.15 : x
  2. Step 2: Convert to fraction form
    3,842.13/5,771.03 = 3,390.15/x
  3. Step 3: Cross multiply
    3,842.13x = 5,771.03 × 3,390.15
  4. Step 4: Simplify right side
    3,842.13x = 19,564,640.40
  5. Step 5: Solve for x
    x = 19,564,640.40/3,842.13
  6. Step 6: Final answer
    x = 5,092.13

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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.