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Finding the Fourth Proportional to 2,909.80, 4,372.12 and 2,741.76

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Solution

The fourth proportional to 2,909.80, 4,372.12 and 2,741.76 is: 4,119.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.80 : 4,372.12 = 2,741.76 : x
  2. Step 2: Convert to fraction form
    2,909.80/4,372.12 = 2,741.76/x
  3. Step 3: Cross multiply
    2,909.80x = 4,372.12 × 2,741.76
  4. Step 4: Simplify right side
    2,909.80x = 11,987,303.73
  5. Step 5: Solve for x
    x = 11,987,303.73/2,909.80
  6. Step 6: Final answer
    x = 4,119.63

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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.