Home / 1,187.25-1,782.24-927.54

Finding the Fourth Proportional to 1,187.25, 1,782.24 and 927.54

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Solution

The fourth proportional to 1,187.25, 1,782.24 and 927.54 is: 1,392.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.25 : 1,782.24 = 927.54 : x
  2. Step 2: Convert to fraction form
    1,187.25/1,782.24 = 927.54/x
  3. Step 3: Cross multiply
    1,187.25x = 1,782.24 × 927.54
  4. Step 4: Simplify right side
    1,187.25x = 1,653,098.89
  5. Step 5: Solve for x
    x = 1,653,098.89/1,187.25
  6. Step 6: Final answer
    x = 1,392.38

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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.