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Finding the Fourth Proportional to 6,480.42, 9,719.55 and 2,097.24

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Solution

The fourth proportional to 6,480.42, 9,719.55 and 2,097.24 is: 3,145.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480.42 : 9,719.55 = 2,097.24 : x
  2. Step 2: Convert to fraction form
    6,480.42/9,719.55 = 2,097.24/x
  3. Step 3: Cross multiply
    6,480.42x = 9,719.55 × 2,097.24
  4. Step 4: Simplify right side
    6,480.42x = 20,384,229.04
  5. Step 5: Solve for x
    x = 20,384,229.04/6,480.42
  6. Step 6: Final answer
    x = 3,145.51

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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.