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Finding the Fourth Proportional to 3,918.66, 5,877.42 and 996.78

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Solution

The fourth proportional to 3,918.66, 5,877.42 and 996.78 is: 1,495.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,918.66 : 5,877.42 = 996.78 : x
  2. Step 2: Convert to fraction form
    3,918.66/5,877.42 = 996.78/x
  3. Step 3: Cross multiply
    3,918.66x = 5,877.42 × 996.78
  4. Step 4: Simplify right side
    3,918.66x = 5,858,494.71
  5. Step 5: Solve for x
    x = 5,858,494.71/3,918.66
  6. Step 6: Final answer
    x = 1,495.03

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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.