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Finding the Fourth Proportional to 12,165.05, 18,231.05 and 6,897.57

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Solution

The fourth proportional to 12,165.05, 18,231.05 and 6,897.57 is: 10,336.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.05 : 18,231.05 = 6,897.57 : x
  2. Step 2: Convert to fraction form
    12,165.05/18,231.05 = 6,897.57/x
  3. Step 3: Cross multiply
    12,165.05x = 18,231.05 × 6,897.57
  4. Step 4: Simplify right side
    12,165.05x = 125,749,943.55
  5. Step 5: Solve for x
    x = 125,749,943.55/12,165.05
  6. Step 6: Final answer
    x = 10,336.99

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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.