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Finding the Fourth Proportional to 8,567.84, 12,849.60 and 4,121.12

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Solution

The fourth proportional to 8,567.84, 12,849.60 and 4,121.12 is: 6,180.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,567.84 : 12,849.60 = 4,121.12 : x
  2. Step 2: Convert to fraction form
    8,567.84/12,849.60 = 4,121.12/x
  3. Step 3: Cross multiply
    8,567.84x = 12,849.60 × 4,121.12
  4. Step 4: Simplify right side
    8,567.84x = 52,954,743.55
  5. Step 5: Solve for x
    x = 52,954,743.55/8,567.84
  6. Step 6: Final answer
    x = 6,180.64

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1.5x scale

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.