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Finding the Fourth Proportional to 12,568.24, 18,836.08 and 5,164.32

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Solution

The fourth proportional to 12,568.24, 18,836.08 and 5,164.32 is: 7,739.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,568.24 : 18,836.08 = 5,164.32 : x
  2. Step 2: Convert to fraction form
    12,568.24/18,836.08 = 5,164.32/x
  3. Step 3: Cross multiply
    12,568.24x = 18,836.08 × 5,164.32
  4. Step 4: Simplify right side
    12,568.24x = 97,275,544.67
  5. Step 5: Solve for x
    x = 97,275,544.67/12,568.24
  6. Step 6: Final answer
    x = 7,739.79

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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.