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Finding the Fourth Proportional to 3,385, 5,078.14 and 1,561

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Solution

The fourth proportional to 3,385, 5,078.14 and 1,561 is: 2,341.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,385 : 5,078.14 = 1,561 : x
  2. Step 2: Convert to fraction form
    3,385/5,078.14 = 1,561/x
  3. Step 3: Cross multiply
    3,385x = 5,078.14 × 1,561
  4. Step 4: Simplify right side
    3,385x = 7,926,976.54
  5. Step 5: Solve for x
    x = 7,926,976.54/3,385
  6. Step 6: Final answer
    x = 2,341.80

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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.