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Finding the Fourth Proportional to 8,549.42, 12,828.56 and 6,468.80

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Solution

The fourth proportional to 8,549.42, 12,828.56 and 6,468.80 is: 9,706.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,549.42 : 12,828.56 = 6,468.80 : x
  2. Step 2: Convert to fraction form
    8,549.42/12,828.56 = 6,468.80/x
  3. Step 3: Cross multiply
    8,549.42x = 12,828.56 × 6,468.80
  4. Step 4: Simplify right side
    8,549.42x = 82,985,388.93
  5. Step 5: Solve for x
    x = 82,985,388.93/8,549.42
  6. Step 6: Final answer
    x = 9,706.55

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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.