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Finding the Fourth Proportional to 2,672.57, 4,009.31 and 823.65

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Solution

The fourth proportional to 2,672.57, 4,009.31 and 823.65 is: 1,235.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.57 : 4,009.31 = 823.65 : x
  2. Step 2: Convert to fraction form
    2,672.57/4,009.31 = 823.65/x
  3. Step 3: Cross multiply
    2,672.57x = 4,009.31 × 823.65
  4. Step 4: Simplify right side
    2,672.57x = 3,302,268.18
  5. Step 5: Solve for x
    x = 3,302,268.18/2,672.57
  6. Step 6: Final answer
    x = 1,235.62

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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.