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Finding the Fourth Proportional to 3,231.67, 4,847.51 and 891.71

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Solution

The fourth proportional to 3,231.67, 4,847.51 and 891.71 is: 1,337.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231.67 : 4,847.51 = 891.71 : x
  2. Step 2: Convert to fraction form
    3,231.67/4,847.51 = 891.71/x
  3. Step 3: Cross multiply
    3,231.67x = 4,847.51 × 891.71
  4. Step 4: Simplify right side
    3,231.67x = 4,322,587.49
  5. Step 5: Solve for x
    x = 4,322,587.49/3,231.67
  6. Step 6: Final answer
    x = 1,337.57

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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.