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Finding the Fourth Proportional to 11,709.57, 16,170.05 and 7,525.17

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Solution

The fourth proportional to 11,709.57, 16,170.05 and 7,525.17 is: 10,391.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709.57 : 16,170.05 = 7,525.17 : x
  2. Step 2: Convert to fraction form
    11,709.57/16,170.05 = 7,525.17/x
  3. Step 3: Cross multiply
    11,709.57x = 16,170.05 × 7,525.17
  4. Step 4: Simplify right side
    11,709.57x = 121,682,337.53
  5. Step 5: Solve for x
    x = 121,682,337.53/11,709.57
  6. Step 6: Final answer
    x = 10,391.70

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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.