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Finding the Fourth Proportional to 2,006.66, 3,007.71 and 965.10

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Solution

The fourth proportional to 2,006.66, 3,007.71 and 965.10 is: 1,446.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.66 : 3,007.71 = 965.10 : x
  2. Step 2: Convert to fraction form
    2,006.66/3,007.71 = 965.10/x
  3. Step 3: Cross multiply
    2,006.66x = 3,007.71 × 965.10
  4. Step 4: Simplify right side
    2,006.66x = 2,902,740.92
  5. Step 5: Solve for x
    x = 2,902,740.92/2,006.66
  6. Step 6: Final answer
    x = 1,446.55

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1.5x scale

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.