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Finding the Fourth Proportional to 3,938.40, 5,907.40 and 1,016.68

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Solution

The fourth proportional to 3,938.40, 5,907.40 and 1,016.68 is: 1,524.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,938.40 : 5,907.40 = 1,016.68 : x
  2. Step 2: Convert to fraction form
    3,938.40/5,907.40 = 1,016.68/x
  3. Step 3: Cross multiply
    3,938.40x = 5,907.40 × 1,016.68
  4. Step 4: Simplify right side
    3,938.40x = 6,005,935.43
  5. Step 5: Solve for x
    x = 6,005,935.43/3,938.40
  6. Step 6: Final answer
    x = 1,524.97

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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.