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Finding the Fourth Proportional to 3,401.64, 5,102.28 and 936.63

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Solution

The fourth proportional to 3,401.64, 5,102.28 and 936.63 is: 1,404.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.64 : 5,102.28 = 936.63 : x
  2. Step 2: Convert to fraction form
    3,401.64/5,102.28 = 936.63/x
  3. Step 3: Cross multiply
    3,401.64x = 5,102.28 × 936.63
  4. Step 4: Simplify right side
    3,401.64x = 4,778,948.52
  5. Step 5: Solve for x
    x = 4,778,948.52/3,401.64
  6. Step 6: Final answer
    x = 1,404.90

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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.