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Finding the Fourth Proportional to 11,709.32, 16,169.64 and 7,524.86

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Solution

The fourth proportional to 11,709.32, 16,169.64 and 7,524.86 is: 10,391.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709.32 : 16,169.64 = 7,524.86 : x
  2. Step 2: Convert to fraction form
    11,709.32/16,169.64 = 7,524.86/x
  3. Step 3: Cross multiply
    11,709.32x = 16,169.64 × 7,524.86
  4. Step 4: Simplify right side
    11,709.32x = 121,674,277.25
  5. Step 5: Solve for x
    x = 121,674,277.25/11,709.32
  6. Step 6: Final answer
    x = 10,391.23

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