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Finding the Fourth Proportional to 8,242.74, 12,352.59 and 3,849.30

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Solution

The fourth proportional to 8,242.74, 12,352.59 and 3,849.30 is: 5,768.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.74 : 12,352.59 = 3,849.30 : x
  2. Step 2: Convert to fraction form
    8,242.74/12,352.59 = 3,849.30/x
  3. Step 3: Cross multiply
    8,242.74x = 12,352.59 × 3,849.30
  4. Step 4: Simplify right side
    8,242.74x = 47,548,824.69
  5. Step 5: Solve for x
    x = 47,548,824.69/8,242.74
  6. Step 6: Final answer
    x = 5,768.57

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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.