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Finding the Fourth Proportional to 9,198.40, 13,794.38 and 8,607.90

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Solution

The fourth proportional to 9,198.40, 13,794.38 and 8,607.90 is: 12,908.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.40 : 13,794.38 = 8,607.90 : x
  2. Step 2: Convert to fraction form
    9,198.40/13,794.38 = 8,607.90/x
  3. Step 3: Cross multiply
    9,198.40x = 13,794.38 × 8,607.90
  4. Step 4: Simplify right side
    9,198.40x = 118,740,643.60
  5. Step 5: Solve for x
    x = 118,740,643.60/9,198.40
  6. Step 6: Final answer
    x = 12,908.84

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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.