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Finding the Fourth Proportional to 3,486, 5,229.07 and 853.51

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Solution

The fourth proportional to 3,486, 5,229.07 and 853.51 is: 1,280.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486 : 5,229.07 = 853.51 : x
  2. Step 2: Convert to fraction form
    3,486/5,229.07 = 853.51/x
  3. Step 3: Cross multiply
    3,486x = 5,229.07 × 853.51
  4. Step 4: Simplify right side
    3,486x = 4,463,063.54
  5. Step 5: Solve for x
    x = 4,463,063.54/3,486
  6. Step 6: Final answer
    x = 1,280.28

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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.