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Finding the Fourth Proportional to 2,802, 3,867.08 and 1,698

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Solution

The fourth proportional to 2,802, 3,867.08 and 1,698 is: 2,343.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802 : 3,867.08 = 1,698 : x
  2. Step 2: Convert to fraction form
    2,802/3,867.08 = 1,698/x
  3. Step 3: Cross multiply
    2,802x = 3,867.08 × 1,698
  4. Step 4: Simplify right side
    2,802x = 6,566,301.84
  5. Step 5: Solve for x
    x = 6,566,301.84/2,802
  6. Step 6: Final answer
    x = 2,343.43

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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.