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Finding the Fourth Proportional to 3,221.91, 4,832.88 and 881.91

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Solution

The fourth proportional to 3,221.91, 4,832.88 and 881.91 is: 1,322.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.91 : 4,832.88 = 881.91 : x
  2. Step 2: Convert to fraction form
    3,221.91/4,832.88 = 881.91/x
  3. Step 3: Cross multiply
    3,221.91x = 4,832.88 × 881.91
  4. Step 4: Simplify right side
    3,221.91x = 4,262,165.20
  5. Step 5: Solve for x
    x = 4,262,165.20/3,221.91
  6. Step 6: Final answer
    x = 1,322.87

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1.5x scale

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.