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Finding the Fourth Proportional to 2,767.43, 3,808.89 and 2,206.10

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Solution

The fourth proportional to 2,767.43, 3,808.89 and 2,206.10 is: 3,036.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.43 : 3,808.89 = 2,206.10 : x
  2. Step 2: Convert to fraction form
    2,767.43/3,808.89 = 2,206.10/x
  3. Step 3: Cross multiply
    2,767.43x = 3,808.89 × 2,206.10
  4. Step 4: Simplify right side
    2,767.43x = 8,402,801.75
  5. Step 5: Solve for x
    x = 8,402,801.75/2,767.43
  6. Step 6: Final answer
    x = 3,036.32

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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.