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Finding the Fourth Proportional to 2,169.84, 2,993.94 and 1,285.95

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Solution

The fourth proportional to 2,169.84, 2,993.94 and 1,285.95 is: 1,774.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.84 : 2,993.94 = 1,285.95 : x
  2. Step 2: Convert to fraction form
    2,169.84/2,993.94 = 1,285.95/x
  3. Step 3: Cross multiply
    2,169.84x = 2,993.94 × 1,285.95
  4. Step 4: Simplify right side
    2,169.84x = 3,850,057.14
  5. Step 5: Solve for x
    x = 3,850,057.14/2,169.84
  6. Step 6: Final answer
    x = 1,774.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.