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Finding the Fourth Proportional to 8,568, 12,831.36 and 4,174.72

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Solution

The fourth proportional to 8,568, 12,831.36 and 4,174.72 is: 6,252.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,568 : 12,831.36 = 4,174.72 : x
  2. Step 2: Convert to fraction form
    8,568/12,831.36 = 4,174.72/x
  3. Step 3: Cross multiply
    8,568x = 12,831.36 × 4,174.72
  4. Step 4: Simplify right side
    8,568x = 53,567,335.22
  5. Step 5: Solve for x
    x = 53,567,335.22/8,568
  6. Step 6: Final answer
    x = 6,252.02

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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.