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Finding the Fourth Proportional to 3,561.66, 5,342.49 and 1,806.39

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Solution

The fourth proportional to 3,561.66, 5,342.49 and 1,806.39 is: 2,709.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,561.66 : 5,342.49 = 1,806.39 : x
  2. Step 2: Convert to fraction form
    3,561.66/5,342.49 = 1,806.39/x
  3. Step 3: Cross multiply
    3,561.66x = 5,342.49 × 1,806.39
  4. Step 4: Simplify right side
    3,561.66x = 9,650,620.51
  5. Step 5: Solve for x
    x = 9,650,620.51/3,561.66
  6. Step 6: Final answer
    x = 2,709.59

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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.