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Finding the Fourth Proportional to 3,978.12, 5,970.12 and 1,481.58

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Solution

The fourth proportional to 3,978.12, 5,970.12 and 1,481.58 is: 2,223.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.12 : 5,970.12 = 1,481.58 : x
  2. Step 2: Convert to fraction form
    3,978.12/5,970.12 = 1,481.58/x
  3. Step 3: Cross multiply
    3,978.12x = 5,970.12 × 1,481.58
  4. Step 4: Simplify right side
    3,978.12x = 8,845,210.39
  5. Step 5: Solve for x
    x = 8,845,210.39/3,978.12
  6. Step 6: Final answer
    x = 2,223.46

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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.