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Finding the Fourth Proportional to 2,986.64, 4,121.04 and 2,043.20

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Solution

The fourth proportional to 2,986.64, 4,121.04 and 2,043.20 is: 2,819.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.64 : 4,121.04 = 2,043.20 : x
  2. Step 2: Convert to fraction form
    2,986.64/4,121.04 = 2,043.20/x
  3. Step 3: Cross multiply
    2,986.64x = 4,121.04 × 2,043.20
  4. Step 4: Simplify right side
    2,986.64x = 8,420,108.93
  5. Step 5: Solve for x
    x = 8,420,108.93/2,986.64
  6. Step 6: Final answer
    x = 2,819.26

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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.