Home / 1,285.14-1,925.19-1,205.22

Finding the Fourth Proportional to 1,285.14, 1,925.19 and 1,205.22

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Solution

The fourth proportional to 1,285.14, 1,925.19 and 1,205.22 is: 1,805.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.14 : 1,925.19 = 1,205.22 : x
  2. Step 2: Convert to fraction form
    1,285.14/1,925.19 = 1,205.22/x
  3. Step 3: Cross multiply
    1,285.14x = 1,925.19 × 1,205.22
  4. Step 4: Simplify right side
    1,285.14x = 2,320,277.49
  5. Step 5: Solve for x
    x = 2,320,277.49/1,285.14
  6. Step 6: Final answer
    x = 1,805.47

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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.