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Finding the Fourth Proportional to 12,584.42, 18,860.22 and 5,181.42

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Solution

The fourth proportional to 12,584.42, 18,860.22 and 5,181.42 is: 7,765.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584.42 : 18,860.22 = 5,181.42 : x
  2. Step 2: Convert to fraction form
    12,584.42/18,860.22 = 5,181.42/x
  3. Step 3: Cross multiply
    12,584.42x = 18,860.22 × 5,181.42
  4. Step 4: Simplify right side
    12,584.42x = 97,722,721.11
  5. Step 5: Solve for x
    x = 97,722,721.11/12,584.42
  6. Step 6: Final answer
    x = 7,765.37

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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.