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Finding the Fourth Proportional to 12,497.44, 18,744 and 4,176.64

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Solution

The fourth proportional to 12,497.44, 18,744 and 4,176.64 is: 6,264.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497.44 : 18,744 = 4,176.64 : x
  2. Step 2: Convert to fraction form
    12,497.44/18,744 = 4,176.64/x
  3. Step 3: Cross multiply
    12,497.44x = 18,744 × 4,176.64
  4. Step 4: Simplify right side
    12,497.44x = 78,286,940.16
  5. Step 5: Solve for x
    x = 78,286,940.16/12,497.44
  6. Step 6: Final answer
    x = 6,264.24

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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.