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Finding the Fourth Proportional to 3,938.67, 5,908.03 and 1,017

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Solution

The fourth proportional to 3,938.67, 5,908.03 and 1,017 is: 1,525.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,938.67 : 5,908.03 = 1,017 : x
  2. Step 2: Convert to fraction form
    3,938.67/5,908.03 = 1,017/x
  3. Step 3: Cross multiply
    3,938.67x = 5,908.03 × 1,017
  4. Step 4: Simplify right side
    3,938.67x = 6,008,466.51
  5. Step 5: Solve for x
    x = 6,008,466.51/3,938.67
  6. Step 6: Final answer
    x = 1,525.51

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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.