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Finding the Fourth Proportional to 2,863.49, 3,954.83 and 2,419.11

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Solution

The fourth proportional to 2,863.49, 3,954.83 and 2,419.11 is: 3,341.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.49 : 3,954.83 = 2,419.11 : x
  2. Step 2: Convert to fraction form
    2,863.49/3,954.83 = 2,419.11/x
  3. Step 3: Cross multiply
    2,863.49x = 3,954.83 × 2,419.11
  4. Step 4: Simplify right side
    2,863.49x = 9,567,156.71
  5. Step 5: Solve for x
    x = 9,567,156.71/2,863.49
  6. Step 6: Final answer
    x = 3,341.09

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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.