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Finding the Fourth Proportional to 3,920.76, 5,882.49 and 1,972.44

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Solution

The fourth proportional to 3,920.76, 5,882.49 and 1,972.44 is: 2,959.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.76 : 5,882.49 = 1,972.44 : x
  2. Step 2: Convert to fraction form
    3,920.76/5,882.49 = 1,972.44/x
  3. Step 3: Cross multiply
    3,920.76x = 5,882.49 × 1,972.44
  4. Step 4: Simplify right side
    3,920.76x = 11,602,858.58
  5. Step 5: Solve for x
    x = 11,602,858.58/3,920.76
  6. Step 6: Final answer
    x = 2,959.34

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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.