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Finding the Fourth Proportional to 7,164.72, 9,887.14 and 3,977.92

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Solution

The fourth proportional to 7,164.72, 9,887.14 and 3,977.92 is: 5,489.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.72 : 9,887.14 = 3,977.92 : x
  2. Step 2: Convert to fraction form
    7,164.72/9,887.14 = 3,977.92/x
  3. Step 3: Cross multiply
    7,164.72x = 9,887.14 × 3,977.92
  4. Step 4: Simplify right side
    7,164.72x = 39,330,251.95
  5. Step 5: Solve for x
    x = 39,330,251.95/7,164.72
  6. Step 6: Final answer
    x = 5,489.43

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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.