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Finding the Fourth Proportional to 18,465.57, 27,698.49 and 6,778.80

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Solution

The fourth proportional to 18,465.57, 27,698.49 and 6,778.80 is: 10,168.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,465.57 : 27,698.49 = 6,778.80 : x
  2. Step 2: Convert to fraction form
    18,465.57/27,698.49 = 6,778.80/x
  3. Step 3: Cross multiply
    18,465.57x = 27,698.49 × 6,778.80
  4. Step 4: Simplify right side
    18,465.57x = 187,762,524.01
  5. Step 5: Solve for x
    x = 187,762,524.01/18,465.57
  6. Step 6: Final answer
    x = 10,168.25

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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.