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Finding the Fourth Proportional to 2,326.78, 3,490.31 and 865.94

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Solution

The fourth proportional to 2,326.78, 3,490.31 and 865.94 is: 1,298.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.78 : 3,490.31 = 865.94 : x
  2. Step 2: Convert to fraction form
    2,326.78/3,490.31 = 865.94/x
  3. Step 3: Cross multiply
    2,326.78x = 3,490.31 × 865.94
  4. Step 4: Simplify right side
    2,326.78x = 3,022,409.93
  5. Step 5: Solve for x
    x = 3,022,409.93/2,326.78
  6. Step 6: Final answer
    x = 1,298.97

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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.