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Finding the Fourth Proportional to 12,325, 18,486.14 and 3,091

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Solution

The fourth proportional to 12,325, 18,486.14 and 3,091 is: 4,636.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,325 : 18,486.14 = 3,091 : x
  2. Step 2: Convert to fraction form
    12,325/18,486.14 = 3,091/x
  3. Step 3: Cross multiply
    12,325x = 18,486.14 × 3,091
  4. Step 4: Simplify right side
    12,325x = 57,140,658.74
  5. Step 5: Solve for x
    x = 57,140,658.74/12,325
  6. Step 6: Final answer
    x = 4,636.16

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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.