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Finding the Fourth Proportional to 2,008.71, 3,012.98 and 547.86

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Solution

The fourth proportional to 2,008.71, 3,012.98 and 547.86 is: 821.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.71 : 3,012.98 = 547.86 : x
  2. Step 2: Convert to fraction form
    2,008.71/3,012.98 = 547.86/x
  3. Step 3: Cross multiply
    2,008.71x = 3,012.98 × 547.86
  4. Step 4: Simplify right side
    2,008.71x = 1,650,680.95
  5. Step 5: Solve for x
    x = 1,650,680.95/2,008.71
  6. Step 6: Final answer
    x = 821.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.