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Finding the Fourth Proportional to 3,909.30, 5,859.84 and 2,867.74

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Solution

The fourth proportional to 3,909.30, 5,859.84 and 2,867.74 is: 4,298.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.30 : 5,859.84 = 2,867.74 : x
  2. Step 2: Convert to fraction form
    3,909.30/5,859.84 = 2,867.74/x
  3. Step 3: Cross multiply
    3,909.30x = 5,859.84 × 2,867.74
  4. Step 4: Simplify right side
    3,909.30x = 16,804,493.67
  5. Step 5: Solve for x
    x = 16,804,493.67/3,909.30
  6. Step 6: Final answer
    x = 4,298.60

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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.