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Finding the Fourth Proportional to 2,006.01, 3,008.99 and 545.15

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Solution

The fourth proportional to 2,006.01, 3,008.99 and 545.15 is: 817.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.01 : 3,008.99 = 545.15 : x
  2. Step 2: Convert to fraction form
    2,006.01/3,008.99 = 545.15/x
  3. Step 3: Cross multiply
    2,006.01x = 3,008.99 × 545.15
  4. Step 4: Simplify right side
    2,006.01x = 1,640,350.90
  5. Step 5: Solve for x
    x = 1,640,350.90/2,006.01
  6. Step 6: Final answer
    x = 817.72

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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.