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Finding the Fourth Proportional to 3,191.47, 4,787.29 and 882.97

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Solution

The fourth proportional to 3,191.47, 4,787.29 and 882.97 is: 1,324.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.47 : 4,787.29 = 882.97 : x
  2. Step 2: Convert to fraction form
    3,191.47/4,787.29 = 882.97/x
  3. Step 3: Cross multiply
    3,191.47x = 4,787.29 × 882.97
  4. Step 4: Simplify right side
    3,191.47x = 4,227,033.45
  5. Step 5: Solve for x
    x = 4,227,033.45/3,191.47
  6. Step 6: Final answer
    x = 1,324.48

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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.