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Finding the Fourth Proportional to 3,978.32, 5,962.62 and 1,378.22

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Solution

The fourth proportional to 3,978.32, 5,962.62 and 1,378.22 is: 2,065.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.32 : 5,962.62 = 1,378.22 : x
  2. Step 2: Convert to fraction form
    3,978.32/5,962.62 = 1,378.22/x
  3. Step 3: Cross multiply
    3,978.32x = 5,962.62 × 1,378.22
  4. Step 4: Simplify right side
    3,978.32x = 8,217,802.14
  5. Step 5: Solve for x
    x = 8,217,802.14/3,978.32
  6. Step 6: Final answer
    x = 2,065.65

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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.