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Finding the Fourth Proportional to 10,811, 16,195.52 and 7,101.98

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Solution

The fourth proportional to 10,811, 16,195.52 and 7,101.98 is: 10,639.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,811 : 16,195.52 = 7,101.98 : x
  2. Step 2: Convert to fraction form
    10,811/16,195.52 = 7,101.98/x
  3. Step 3: Cross multiply
    10,811x = 16,195.52 × 7,101.98
  4. Step 4: Simplify right side
    10,811x = 115,020,259.13
  5. Step 5: Solve for x
    x = 115,020,259.13/10,811
  6. Step 6: Final answer
    x = 10,639.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.