Home / 2,008.20-3,012.04-547.46

Finding the Fourth Proportional to 2,008.20, 3,012.04 and 547.46

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Solution

The fourth proportional to 2,008.20, 3,012.04 and 547.46 is: 821.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.20 : 3,012.04 = 547.46 : x
  2. Step 2: Convert to fraction form
    2,008.20/3,012.04 = 547.46/x
  3. Step 3: Cross multiply
    2,008.20x = 3,012.04 × 547.46
  4. Step 4: Simplify right side
    2,008.20x = 1,648,971.42
  5. Step 5: Solve for x
    x = 1,648,971.42/2,008.20
  6. Step 6: Final answer
    x = 821.12

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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.