Home / 1,214.87-1,823.85-1,208.75

Finding the Fourth Proportional to 1,214.87, 1,823.85 and 1,208.75

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Solution

The fourth proportional to 1,214.87, 1,823.85 and 1,208.75 is: 1,814.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.87 : 1,823.85 = 1,208.75 : x
  2. Step 2: Convert to fraction form
    1,214.87/1,823.85 = 1,208.75/x
  3. Step 3: Cross multiply
    1,214.87x = 1,823.85 × 1,208.75
  4. Step 4: Simplify right side
    1,214.87x = 2,204,569.57
  5. Step 5: Solve for x
    x = 2,204,569.57/1,214.87
  6. Step 6: Final answer
    x = 1,814.66

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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.