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Finding the Fourth Proportional to 2,208, 3,309.16 and 1,686.08

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Solution

The fourth proportional to 2,208, 3,309.16 and 1,686.08 is: 2,526.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208 : 3,309.16 = 1,686.08 : x
  2. Step 2: Convert to fraction form
    2,208/3,309.16 = 1,686.08/x
  3. Step 3: Cross multiply
    2,208x = 3,309.16 × 1,686.08
  4. Step 4: Simplify right side
    2,208x = 5,579,508.49
  5. Step 5: Solve for x
    x = 5,579,508.49/2,208
  6. Step 6: Final answer
    x = 2,526.95

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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.