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Finding the Fourth Proportional to 8,544.25, 12,822.63 and 4,387.72

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Solution

The fourth proportional to 8,544.25, 12,822.63 and 4,387.72 is: 6,584.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,544.25 : 12,822.63 = 4,387.72 : x
  2. Step 2: Convert to fraction form
    8,544.25/12,822.63 = 4,387.72/x
  3. Step 3: Cross multiply
    8,544.25x = 12,822.63 × 4,387.72
  4. Step 4: Simplify right side
    8,544.25x = 56,262,110.10
  5. Step 5: Solve for x
    x = 56,262,110.10/8,544.25
  6. Step 6: Final answer
    x = 6,584.79

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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.