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Finding the Fourth Proportional to 18,106.77, 27,162.74 and 6,859.08

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Solution

The fourth proportional to 18,106.77, 27,162.74 and 6,859.08 is: 10,289.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,106.77 : 27,162.74 = 6,859.08 : x
  2. Step 2: Convert to fraction form
    18,106.77/27,162.74 = 6,859.08/x
  3. Step 3: Cross multiply
    18,106.77x = 27,162.74 × 6,859.08
  4. Step 4: Simplify right side
    18,106.77x = 186,311,372.38
  5. Step 5: Solve for x
    x = 186,311,372.38/18,106.77
  6. Step 6: Final answer
    x = 10,289.60

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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.