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Finding the Fourth Proportional to 2,006.74, 3,010.34 and 545.91

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Solution

The fourth proportional to 2,006.74, 3,010.34 and 545.91 is: 818.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.74 : 3,010.34 = 545.91 : x
  2. Step 2: Convert to fraction form
    2,006.74/3,010.34 = 545.91/x
  3. Step 3: Cross multiply
    2,006.74x = 3,010.34 × 545.91
  4. Step 4: Simplify right side
    2,006.74x = 1,643,374.71
  5. Step 5: Solve for x
    x = 1,643,374.71/2,006.74
  6. Step 6: Final answer
    x = 818.93

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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.