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Finding the Fourth Proportional to 3,842.70, 5,764.05 and 3,615.90

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Solution

The fourth proportional to 3,842.70, 5,764.05 and 3,615.90 is: 5,423.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.70 : 5,764.05 = 3,615.90 : x
  2. Step 2: Convert to fraction form
    3,842.70/5,764.05 = 3,615.90/x
  3. Step 3: Cross multiply
    3,842.70x = 5,764.05 × 3,615.90
  4. Step 4: Simplify right side
    3,842.70x = 20,842,228.40
  5. Step 5: Solve for x
    x = 20,842,228.40/3,842.70
  6. Step 6: Final answer
    x = 5,423.85

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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.