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Finding the Fourth Proportional to 2,006.31, 3,009.10 and 545.28

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Solution

The fourth proportional to 2,006.31, 3,009.10 and 545.28 is: 817.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.31 : 3,009.10 = 545.28 : x
  2. Step 2: Convert to fraction form
    2,006.31/3,009.10 = 545.28/x
  3. Step 3: Cross multiply
    2,006.31x = 3,009.10 × 545.28
  4. Step 4: Simplify right side
    2,006.31x = 1,640,802.05
  5. Step 5: Solve for x
    x = 1,640,802.05/2,006.31
  6. Step 6: Final answer
    x = 817.82

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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.