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Finding the Fourth Proportional to 3,401.40, 5,101.97 and 936.17

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Solution

The fourth proportional to 3,401.40, 5,101.97 and 936.17 is: 1,404.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.40 : 5,101.97 = 936.17 : x
  2. Step 2: Convert to fraction form
    3,401.40/5,101.97 = 936.17/x
  3. Step 3: Cross multiply
    3,401.40x = 5,101.97 × 936.17
  4. Step 4: Simplify right side
    3,401.40x = 4,776,281.06
  5. Step 5: Solve for x
    x = 4,776,281.06/3,401.40
  6. Step 6: Final answer
    x = 1,404.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.