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Finding the Fourth Proportional to 9,197.91, 13,788.57 and 8,919.03

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Solution

The fourth proportional to 9,197.91, 13,788.57 and 8,919.03 is: 13,370.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.91 : 13,788.57 = 8,919.03 : x
  2. Step 2: Convert to fraction form
    9,197.91/13,788.57 = 8,919.03/x
  3. Step 3: Cross multiply
    9,197.91x = 13,788.57 × 8,919.03
  4. Step 4: Simplify right side
    9,197.91x = 122,980,669.49
  5. Step 5: Solve for x
    x = 122,980,669.49/9,197.91
  6. Step 6: Final answer
    x = 13,370.50

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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.