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Finding the Fourth Proportional to 2,986.40, 4,481.20 and 1,343.20

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Solution

The fourth proportional to 2,986.40, 4,481.20 and 1,343.20 is: 2,015.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.40 : 4,481.20 = 1,343.20 : x
  2. Step 2: Convert to fraction form
    2,986.40/4,481.20 = 1,343.20/x
  3. Step 3: Cross multiply
    2,986.40x = 4,481.20 × 1,343.20
  4. Step 4: Simplify right side
    2,986.40x = 6,019,147.84
  5. Step 5: Solve for x
    x = 6,019,147.84/2,986.40
  6. Step 6: Final answer
    x = 2,015.52

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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.