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Finding the Fourth Proportional to 12,207, 18,301.86 and 8,697

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Solution

The fourth proportional to 12,207, 18,301.86 and 8,697 is: 13,039.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,207 : 18,301.86 = 8,697 : x
  2. Step 2: Convert to fraction form
    12,207/18,301.86 = 8,697/x
  3. Step 3: Cross multiply
    12,207x = 18,301.86 × 8,697
  4. Step 4: Simplify right side
    12,207x = 159,171,276.42
  5. Step 5: Solve for x
    x = 159,171,276.42/12,207
  6. Step 6: Final answer
    x = 13,039.34

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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.