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Finding the Fourth Proportional to 3,419.69, 4,718.90 and 2,003.19

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Solution

The fourth proportional to 3,419.69, 4,718.90 and 2,003.19 is: 2,764.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.69 : 4,718.90 = 2,003.19 : x
  2. Step 2: Convert to fraction form
    3,419.69/4,718.90 = 2,003.19/x
  3. Step 3: Cross multiply
    3,419.69x = 4,718.90 × 2,003.19
  4. Step 4: Simplify right side
    3,419.69x = 9,452,843.28
  5. Step 5: Solve for x
    x = 9,452,843.28/3,419.69
  6. Step 6: Final answer
    x = 2,764.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.