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Finding the Fourth Proportional to 7,202.38, 10,807.82 and 3,042.12

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Solution

The fourth proportional to 7,202.38, 10,807.82 and 3,042.12 is: 4,564.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.38 : 10,807.82 = 3,042.12 : x
  2. Step 2: Convert to fraction form
    7,202.38/10,807.82 = 3,042.12/x
  3. Step 3: Cross multiply
    7,202.38x = 10,807.82 × 3,042.12
  4. Step 4: Simplify right side
    7,202.38x = 32,878,685.38
  5. Step 5: Solve for x
    x = 32,878,685.38/7,202.38
  6. Step 6: Final answer
    x = 4,564.98

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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.