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Finding the Fourth Proportional to 3,443, 5,165.52 and 1,983.20

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Solution

The fourth proportional to 3,443, 5,165.52 and 1,983.20 is: 2,975.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443 : 5,165.52 = 1,983.20 : x
  2. Step 2: Convert to fraction form
    3,443/5,165.52 = 1,983.20/x
  3. Step 3: Cross multiply
    3,443x = 5,165.52 × 1,983.20
  4. Step 4: Simplify right side
    3,443x = 10,244,259.26
  5. Step 5: Solve for x
    x = 10,244,259.26/3,443
  6. Step 6: Final answer
    x = 2,975.39

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1.5x scale

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.