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Finding the Fourth Proportional to 2,008.47, 3,012.71 and 547.84

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Solution

The fourth proportional to 2,008.47, 3,012.71 and 547.84 is: 821.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.47 : 3,012.71 = 547.84 : x
  2. Step 2: Convert to fraction form
    2,008.47/3,012.71 = 547.84/x
  3. Step 3: Cross multiply
    2,008.47x = 3,012.71 × 547.84
  4. Step 4: Simplify right side
    2,008.47x = 1,650,487.15
  5. Step 5: Solve for x
    x = 1,650,487.15/2,008.47
  6. Step 6: Final answer
    x = 821.76

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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.