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Finding the Fourth Proportional to 6,424.08, 8,864.20 and 3,629.20

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Solution

The fourth proportional to 6,424.08, 8,864.20 and 3,629.20 is: 5,007.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.08 : 8,864.20 = 3,629.20 : x
  2. Step 2: Convert to fraction form
    6,424.08/8,864.20 = 3,629.20/x
  3. Step 3: Cross multiply
    6,424.08x = 8,864.20 × 3,629.20
  4. Step 4: Simplify right side
    6,424.08x = 32,169,954.64
  5. Step 5: Solve for x
    x = 32,169,954.64/6,424.08
  6. Step 6: Final answer
    x = 5,007.71

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Why These Related Problems?

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