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Finding the Fourth Proportional to 2,326.78, 3,490.34 and 660.87

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Solution

The fourth proportional to 2,326.78, 3,490.34 and 660.87 is: 991.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.78 : 3,490.34 = 660.87 : x
  2. Step 2: Convert to fraction form
    2,326.78/3,490.34 = 660.87/x
  3. Step 3: Cross multiply
    2,326.78x = 3,490.34 × 660.87
  4. Step 4: Simplify right side
    2,326.78x = 2,306,662.65
  5. Step 5: Solve for x
    x = 2,306,662.65/2,326.78
  6. Step 6: Final answer
    x = 991.36

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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.