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Finding the Fourth Proportional to 2,672.55, 4,008.87 and 823.68

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Solution

The fourth proportional to 2,672.55, 4,008.87 and 823.68 is: 1,235.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.55 : 4,008.87 = 823.68 : x
  2. Step 2: Convert to fraction form
    2,672.55/4,008.87 = 823.68/x
  3. Step 3: Cross multiply
    2,672.55x = 4,008.87 × 823.68
  4. Step 4: Simplify right side
    2,672.55x = 3,302,026.04
  5. Step 5: Solve for x
    x = 3,302,026.04/2,672.55
  6. Step 6: Final answer
    x = 1,235.53

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1.5x scale

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.