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Finding the Fourth Proportional to 6,704.40, 9,251.72 and 3,720

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Solution

The fourth proportional to 6,704.40, 9,251.72 and 3,720 is: 5,133.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.40 : 9,251.72 = 3,720 : x
  2. Step 2: Convert to fraction form
    6,704.40/9,251.72 = 3,720/x
  3. Step 3: Cross multiply
    6,704.40x = 9,251.72 × 3,720
  4. Step 4: Simplify right side
    6,704.40x = 34,416,398.40
  5. Step 5: Solve for x
    x = 34,416,398.40/6,704.40
  6. Step 6: Final answer
    x = 5,133.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.