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Finding the Fourth Proportional to 2,008.46, 3,012.30 and 547.27

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Solution

The fourth proportional to 2,008.46, 3,012.30 and 547.27 is: 820.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.46 : 3,012.30 = 547.27 : x
  2. Step 2: Convert to fraction form
    2,008.46/3,012.30 = 547.27/x
  3. Step 3: Cross multiply
    2,008.46x = 3,012.30 × 547.27
  4. Step 4: Simplify right side
    2,008.46x = 1,648,533.89
  5. Step 5: Solve for x
    x = 1,648,533.89/2,008.46
  6. Step 6: Final answer
    x = 820.79

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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.