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Finding the Fourth Proportional to 2,006.54, 3,009.56 and 545.80

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Solution

The fourth proportional to 2,006.54, 3,009.56 and 545.80 is: 818.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.54 : 3,009.56 = 545.80 : x
  2. Step 2: Convert to fraction form
    2,006.54/3,009.56 = 545.80/x
  3. Step 3: Cross multiply
    2,006.54x = 3,009.56 × 545.80
  4. Step 4: Simplify right side
    2,006.54x = 1,642,617.85
  5. Step 5: Solve for x
    x = 1,642,617.85/2,006.54
  6. Step 6: Final answer
    x = 818.63

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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.