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Finding the Fourth Proportional to 4,744.02, 7,148.16 and 3,940.30

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Solution

The fourth proportional to 4,744.02, 7,148.16 and 3,940.30 is: 5,937.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,744.02 : 7,148.16 = 3,940.30 : x
  2. Step 2: Convert to fraction form
    4,744.02/7,148.16 = 3,940.30/x
  3. Step 3: Cross multiply
    4,744.02x = 7,148.16 × 3,940.30
  4. Step 4: Simplify right side
    4,744.02x = 28,165,894.85
  5. Step 5: Solve for x
    x = 28,165,894.85/4,744.02
  6. Step 6: Final answer
    x = 5,937.14

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.