Home / 1,103.24-1,523.85-894.17

Finding the Fourth Proportional to 1,103.24, 1,523.85 and 894.17

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Solution

The fourth proportional to 1,103.24, 1,523.85 and 894.17 is: 1,235.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.24 : 1,523.85 = 894.17 : x
  2. Step 2: Convert to fraction form
    1,103.24/1,523.85 = 894.17/x
  3. Step 3: Cross multiply
    1,103.24x = 1,523.85 × 894.17
  4. Step 4: Simplify right side
    1,103.24x = 1,362,580.95
  5. Step 5: Solve for x
    x = 1,362,580.95/1,103.24
  6. Step 6: Final answer
    x = 1,235.07

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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.