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Finding the Fourth Proportional to 9,198.77, 13,788.58 and 8,386.84

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Solution

The fourth proportional to 9,198.77, 13,788.58 and 8,386.84 is: 12,571.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.77 : 13,788.58 = 8,386.84 : x
  2. Step 2: Convert to fraction form
    9,198.77/13,788.58 = 8,386.84/x
  3. Step 3: Cross multiply
    9,198.77x = 13,788.58 × 8,386.84
  4. Step 4: Simplify right side
    9,198.77x = 115,642,626.28
  5. Step 5: Solve for x
    x = 115,642,626.28/9,198.77
  6. Step 6: Final answer
    x = 12,571.54

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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.