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Finding the Fourth Proportional to 9,198.52, 13,800.90 and 4,007.80

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Solution

The fourth proportional to 9,198.52, 13,800.90 and 4,007.80 is: 6,013.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.52 : 13,800.90 = 4,007.80 : x
  2. Step 2: Convert to fraction form
    9,198.52/13,800.90 = 4,007.80/x
  3. Step 3: Cross multiply
    9,198.52x = 13,800.90 × 4,007.80
  4. Step 4: Simplify right side
    9,198.52x = 55,311,247.02
  5. Step 5: Solve for x
    x = 55,311,247.02/9,198.52
  6. Step 6: Final answer
    x = 6,013.06

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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.