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Finding the Fourth Proportional to 6,145, 9,216.13 and 2,982.34

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Solution

The fourth proportional to 6,145, 9,216.13 and 2,982.34 is: 4,472.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,145 : 9,216.13 = 2,982.34 : x
  2. Step 2: Convert to fraction form
    6,145/9,216.13 = 2,982.34/x
  3. Step 3: Cross multiply
    6,145x = 9,216.13 × 2,982.34
  4. Step 4: Simplify right side
    6,145x = 27,485,633.14
  5. Step 5: Solve for x
    x = 27,485,633.14/6,145
  6. Step 6: Final answer
    x = 4,472.85

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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.