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Finding the Fourth Proportional to 7,238.10, 10,857.19 and 2,043.98

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Solution

The fourth proportional to 7,238.10, 10,857.19 and 2,043.98 is: 3,065.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,238.10 : 10,857.19 = 2,043.98 : x
  2. Step 2: Convert to fraction form
    7,238.10/10,857.19 = 2,043.98/x
  3. Step 3: Cross multiply
    7,238.10x = 10,857.19 × 2,043.98
  4. Step 4: Simplify right side
    7,238.10x = 22,191,879.22
  5. Step 5: Solve for x
    x = 22,191,879.22/7,238.10
  6. Step 6: Final answer
    x = 3,065.98

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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.