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Finding the Fourth Proportional to 3,974.61, 5,488.65 and 2,978.17

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Solution

The fourth proportional to 3,974.61, 5,488.65 and 2,978.17 is: 4,112.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.61 : 5,488.65 = 2,978.17 : x
  2. Step 2: Convert to fraction form
    3,974.61/5,488.65 = 2,978.17/x
  3. Step 3: Cross multiply
    3,974.61x = 5,488.65 × 2,978.17
  4. Step 4: Simplify right side
    3,974.61x = 16,346,119.05
  5. Step 5: Solve for x
    x = 16,346,119.05/3,974.61
  6. Step 6: Final answer
    x = 4,112.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.