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Finding the Fourth Proportional to 8,286.36, 12,429.54 and 7,779.48

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Solution

The fourth proportional to 8,286.36, 12,429.54 and 7,779.48 is: 11,669.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.36 : 12,429.54 = 7,779.48 : x
  2. Step 2: Convert to fraction form
    8,286.36/12,429.54 = 7,779.48/x
  3. Step 3: Cross multiply
    8,286.36x = 12,429.54 × 7,779.48
  4. Step 4: Simplify right side
    8,286.36x = 96,695,357.84
  5. Step 5: Solve for x
    x = 96,695,357.84/8,286.36
  6. Step 6: Final answer
    x = 11,669.22

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Similar ratio
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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.