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Finding the Fourth Proportional to 7,132.80, 10,705.74 and 3,849.12

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Solution

The fourth proportional to 7,132.80, 10,705.74 and 3,849.12 is: 5,777.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,132.80 : 10,705.74 = 3,849.12 : x
  2. Step 2: Convert to fraction form
    7,132.80/10,705.74 = 3,849.12/x
  3. Step 3: Cross multiply
    7,132.80x = 10,705.74 × 3,849.12
  4. Step 4: Simplify right side
    7,132.80x = 41,207,677.95
  5. Step 5: Solve for x
    x = 41,207,677.95/7,132.80
  6. Step 6: Final answer
    x = 5,777.21

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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.