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Finding the Fourth Proportional to 2,305.47, 3,456.97 and 824.11

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Solution

The fourth proportional to 2,305.47, 3,456.97 and 824.11 is: 1,235.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.47 : 3,456.97 = 824.11 : x
  2. Step 2: Convert to fraction form
    2,305.47/3,456.97 = 824.11/x
  3. Step 3: Cross multiply
    2,305.47x = 3,456.97 × 824.11
  4. Step 4: Simplify right side
    2,305.47x = 2,848,923.55
  5. Step 5: Solve for x
    x = 2,848,923.55/2,305.47
  6. Step 6: Final answer
    x = 1,235.72

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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.