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Finding the Fourth Proportional to 2,327.69, 3,491.70 and 767.71

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Solution

The fourth proportional to 2,327.69, 3,491.70 and 767.71 is: 1,151.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.69 : 3,491.70 = 767.71 : x
  2. Step 2: Convert to fraction form
    2,327.69/3,491.70 = 767.71/x
  3. Step 3: Cross multiply
    2,327.69x = 3,491.70 × 767.71
  4. Step 4: Simplify right side
    2,327.69x = 2,680,613.01
  5. Step 5: Solve for x
    x = 2,680,613.01/2,327.69
  6. Step 6: Final answer
    x = 1,151.62

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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.