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Finding the Fourth Proportional to 2,672.35, 4,008.55 and 823.48

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Solution

The fourth proportional to 2,672.35, 4,008.55 and 823.48 is: 1,235.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.35 : 4,008.55 = 823.48 : x
  2. Step 2: Convert to fraction form
    2,672.35/4,008.55 = 823.48/x
  3. Step 3: Cross multiply
    2,672.35x = 4,008.55 × 823.48
  4. Step 4: Simplify right side
    2,672.35x = 3,300,960.75
  5. Step 5: Solve for x
    x = 3,300,960.75/2,672.35
  6. Step 6: Final answer
    x = 1,235.23

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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.