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Finding the Fourth Proportional to 8,296.91, 11,460.92 and 7,706.42

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Solution

The fourth proportional to 8,296.91, 11,460.92 and 7,706.42 is: 10,645.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.91 : 11,460.92 = 7,706.42 : x
  2. Step 2: Convert to fraction form
    8,296.91/11,460.92 = 7,706.42/x
  3. Step 3: Cross multiply
    8,296.91x = 11,460.92 × 7,706.42
  4. Step 4: Simplify right side
    8,296.91x = 88,322,663.11
  5. Step 5: Solve for x
    x = 88,322,663.11/8,296.91
  6. Step 6: Final answer
    x = 10,645.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.