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Finding the Fourth Proportional to 5,198.34, 7,753.66 and 5,042.72

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Solution

The fourth proportional to 5,198.34, 7,753.66 and 5,042.72 is: 7,521.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.34 : 7,753.66 = 5,042.72 : x
  2. Step 2: Convert to fraction form
    5,198.34/7,753.66 = 5,042.72/x
  3. Step 3: Cross multiply
    5,198.34x = 7,753.66 × 5,042.72
  4. Step 4: Simplify right side
    5,198.34x = 39,099,536.36
  5. Step 5: Solve for x
    x = 39,099,536.36/5,198.34
  6. Step 6: Final answer
    x = 7,521.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.