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Finding the Fourth Proportional to 3,924.80, 5,881.84 and 1,978.32

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Solution

The fourth proportional to 3,924.80, 5,881.84 and 1,978.32 is: 2,964.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.80 : 5,881.84 = 1,978.32 : x
  2. Step 2: Convert to fraction form
    3,924.80/5,881.84 = 1,978.32/x
  3. Step 3: Cross multiply
    3,924.80x = 5,881.84 × 1,978.32
  4. Step 4: Simplify right side
    3,924.80x = 11,636,161.71
  5. Step 5: Solve for x
    x = 11,636,161.71/3,924.80
  6. Step 6: Final answer
    x = 2,964.78

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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.