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Finding the Fourth Proportional to 2,046.86, 3,069.96 and 1,122.87

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Solution

The fourth proportional to 2,046.86, 3,069.96 and 1,122.87 is: 1,684.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.86 : 3,069.96 = 1,122.87 : x
  2. Step 2: Convert to fraction form
    2,046.86/3,069.96 = 1,122.87/x
  3. Step 3: Cross multiply
    2,046.86x = 3,069.96 × 1,122.87
  4. Step 4: Simplify right side
    2,046.86x = 3,447,165.99
  5. Step 5: Solve for x
    x = 3,447,165.99/2,046.86
  6. Step 6: Final answer
    x = 1,684.12

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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.