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Finding the Fourth Proportional to 8,367.87, 11,536.11 and 8,109.08

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Solution

The fourth proportional to 8,367.87, 11,536.11 and 8,109.08 is: 11,179.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,367.87 : 11,536.11 = 8,109.08 : x
  2. Step 2: Convert to fraction form
    8,367.87/11,536.11 = 8,109.08/x
  3. Step 3: Cross multiply
    8,367.87x = 11,536.11 × 8,109.08
  4. Step 4: Simplify right side
    8,367.87x = 93,547,181.20
  5. Step 5: Solve for x
    x = 93,547,181.20/8,367.87
  6. Step 6: Final answer
    x = 11,179.33

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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.