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Finding the Fourth Proportional to 6,640.96, 9,964.80 and 5,080

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Solution

The fourth proportional to 6,640.96, 9,964.80 and 5,080 is: 7,622.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,640.96 : 9,964.80 = 5,080 : x
  2. Step 2: Convert to fraction form
    6,640.96/9,964.80 = 5,080/x
  3. Step 3: Cross multiply
    6,640.96x = 9,964.80 × 5,080
  4. Step 4: Simplify right side
    6,640.96x = 50,621,184
  5. Step 5: Solve for x
    x = 50,621,184/6,640.96
  6. Step 6: Final answer
    x = 7,622.57

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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.