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Finding the Fourth Proportional to 2,329.11, 3,493.88 and 748.05

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Solution

The fourth proportional to 2,329.11, 3,493.88 and 748.05 is: 1,122.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.11 : 3,493.88 = 748.05 : x
  2. Step 2: Convert to fraction form
    2,329.11/3,493.88 = 748.05/x
  3. Step 3: Cross multiply
    2,329.11x = 3,493.88 × 748.05
  4. Step 4: Simplify right side
    2,329.11x = 2,613,593.19
  5. Step 5: Solve for x
    x = 2,613,593.19/2,329.11
  6. Step 6: Final answer
    x = 1,122.14

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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.