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Finding the Fourth Proportional to 2,110.69, 3,166.53 and 649.81

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Solution

The fourth proportional to 2,110.69, 3,166.53 and 649.81 is: 974.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.69 : 3,166.53 = 649.81 : x
  2. Step 2: Convert to fraction form
    2,110.69/3,166.53 = 649.81/x
  3. Step 3: Cross multiply
    2,110.69x = 3,166.53 × 649.81
  4. Step 4: Simplify right side
    2,110.69x = 2,057,642.86
  5. Step 5: Solve for x
    x = 2,057,642.86/2,110.69
  6. Step 6: Final answer
    x = 974.87

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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.