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Finding the Fourth Proportional to 4,933.90, 7,401 and 1,647.28

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Solution

The fourth proportional to 4,933.90, 7,401 and 1,647.28 is: 2,470.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,933.90 : 7,401 = 1,647.28 : x
  2. Step 2: Convert to fraction form
    4,933.90/7,401 = 1,647.28/x
  3. Step 3: Cross multiply
    4,933.90x = 7,401 × 1,647.28
  4. Step 4: Simplify right side
    4,933.90x = 12,191,519.28
  5. Step 5: Solve for x
    x = 12,191,519.28/4,933.90
  6. Step 6: Final answer
    x = 2,470.97

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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.