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Finding the Fourth Proportional to 18,101.29, 27,145.86 and 8,099.77

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Solution

The fourth proportional to 18,101.29, 27,145.86 and 8,099.77 is: 12,146.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,101.29 : 27,145.86 = 8,099.77 : x
  2. Step 2: Convert to fraction form
    18,101.29/27,145.86 = 8,099.77/x
  3. Step 3: Cross multiply
    18,101.29x = 27,145.86 × 8,099.77
  4. Step 4: Simplify right side
    18,101.29x = 219,875,222.45
  5. Step 5: Solve for x
    x = 219,875,222.45/18,101.29
  6. Step 6: Final answer
    x = 12,146.94

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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.