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Finding the Fourth Proportional to 2,008.20, 3,012.48 and 547.32

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Solution

The fourth proportional to 2,008.20, 3,012.48 and 547.32 is: 821.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.20 : 3,012.48 = 547.32 : x
  2. Step 2: Convert to fraction form
    2,008.20/3,012.48 = 547.32/x
  3. Step 3: Cross multiply
    2,008.20x = 3,012.48 × 547.32
  4. Step 4: Simplify right side
    2,008.20x = 1,648,790.55
  5. Step 5: Solve for x
    x = 1,648,790.55/2,008.20
  6. Step 6: Final answer
    x = 821.03

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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.