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Finding the Fourth Proportional to 2,320.19, 3,480.82 and 781.19

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Solution

The fourth proportional to 2,320.19, 3,480.82 and 781.19 is: 1,171.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,320.19 : 3,480.82 = 781.19 : x
  2. Step 2: Convert to fraction form
    2,320.19/3,480.82 = 781.19/x
  3. Step 3: Cross multiply
    2,320.19x = 3,480.82 × 781.19
  4. Step 4: Simplify right side
    2,320.19x = 2,719,181.78
  5. Step 5: Solve for x
    x = 2,719,181.78/2,320.19
  6. Step 6: Final answer
    x = 1,171.97

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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.