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Finding the Fourth Proportional to 5,945.78, 8,205.10 and 3,256.97

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Solution

The fourth proportional to 5,945.78, 8,205.10 and 3,256.97 is: 4,494.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,945.78 : 8,205.10 = 3,256.97 : x
  2. Step 2: Convert to fraction form
    5,945.78/8,205.10 = 3,256.97/x
  3. Step 3: Cross multiply
    5,945.78x = 8,205.10 × 3,256.97
  4. Step 4: Simplify right side
    5,945.78x = 26,723,715.38
  5. Step 5: Solve for x
    x = 26,723,715.38/5,945.78
  6. Step 6: Final answer
    x = 4,494.57

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.