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Finding the Fourth Proportional to 8,299.60, 11,464.63 and 7,709.11

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Solution

The fourth proportional to 8,299.60, 11,464.63 and 7,709.11 is: 10,648.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,299.60 : 11,464.63 = 7,709.11 : x
  2. Step 2: Convert to fraction form
    8,299.60/11,464.63 = 7,709.11/x
  3. Step 3: Cross multiply
    8,299.60x = 11,464.63 × 7,709.11
  4. Step 4: Simplify right side
    8,299.60x = 88,382,093.78
  5. Step 5: Solve for x
    x = 88,382,093.78/8,299.60
  6. Step 6: Final answer
    x = 10,648.96

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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.