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Finding the Fourth Proportional to 2,006.62, 3,008.23 and 910.69

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Solution

The fourth proportional to 2,006.62, 3,008.23 and 910.69 is: 1,365.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.62 : 3,008.23 = 910.69 : x
  2. Step 2: Convert to fraction form
    2,006.62/3,008.23 = 910.69/x
  3. Step 3: Cross multiply
    2,006.62x = 3,008.23 × 910.69
  4. Step 4: Simplify right side
    2,006.62x = 2,739,564.98
  5. Step 5: Solve for x
    x = 2,739,564.98/2,006.62
  6. Step 6: Final answer
    x = 1,365.26

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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.