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Finding the Fourth Proportional to 3,231.29, 4,846.95 and 891.42

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Solution

The fourth proportional to 3,231.29, 4,846.95 and 891.42 is: 1,337.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231.29 : 4,846.95 = 891.42 : x
  2. Step 2: Convert to fraction form
    3,231.29/4,846.95 = 891.42/x
  3. Step 3: Cross multiply
    3,231.29x = 4,846.95 × 891.42
  4. Step 4: Simplify right side
    3,231.29x = 4,320,668.17
  5. Step 5: Solve for x
    x = 4,320,668.17/3,231.29
  6. Step 6: Final answer
    x = 1,337.13

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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.