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Finding the Fourth Proportional to 7,238.10, 10,857.12 and 3,077.46

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Solution

The fourth proportional to 7,238.10, 10,857.12 and 3,077.46 is: 4,616.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,238.10 : 10,857.12 = 3,077.46 : x
  2. Step 2: Convert to fraction form
    7,238.10/10,857.12 = 3,077.46/x
  3. Step 3: Cross multiply
    7,238.10x = 10,857.12 × 3,077.46
  4. Step 4: Simplify right side
    7,238.10x = 33,412,352.52
  5. Step 5: Solve for x
    x = 33,412,352.52/7,238.10
  6. Step 6: Final answer
    x = 4,616.18

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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.