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Finding the Fourth Proportional to 3,164.78, 4,747.17 and 824.78

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Solution

The fourth proportional to 3,164.78, 4,747.17 and 824.78 is: 1,237.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.78 : 4,747.17 = 824.78 : x
  2. Step 2: Convert to fraction form
    3,164.78/4,747.17 = 824.78/x
  3. Step 3: Cross multiply
    3,164.78x = 4,747.17 × 824.78
  4. Step 4: Simplify right side
    3,164.78x = 3,915,370.87
  5. Step 5: Solve for x
    x = 3,915,370.87/3,164.78
  6. Step 6: Final answer
    x = 1,237.17

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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.