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Finding the Fourth Proportional to 2,806.49, 4,209.38 and 726.32

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Solution

The fourth proportional to 2,806.49, 4,209.38 and 726.32 is: 1,089.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.49 : 4,209.38 = 726.32 : x
  2. Step 2: Convert to fraction form
    2,806.49/4,209.38 = 726.32/x
  3. Step 3: Cross multiply
    2,806.49x = 4,209.38 × 726.32
  4. Step 4: Simplify right side
    2,806.49x = 3,057,334.93
  5. Step 5: Solve for x
    x = 3,057,334.93/2,806.49
  6. Step 6: Final answer
    x = 1,089.38

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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.