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Finding the Fourth Proportional to 3,934.50, 5,909.84 and 3,803.28

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Solution

The fourth proportional to 3,934.50, 5,909.84 and 3,803.28 is: 5,712.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,934.50 : 5,909.84 = 3,803.28 : x
  2. Step 2: Convert to fraction form
    3,934.50/5,909.84 = 3,803.28/x
  3. Step 3: Cross multiply
    3,934.50x = 5,909.84 × 3,803.28
  4. Step 4: Simplify right side
    3,934.50x = 22,476,776.28
  5. Step 5: Solve for x
    x = 22,476,776.28/3,934.50
  6. Step 6: Final answer
    x = 5,712.74

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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.