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Finding the Fourth Proportional to 5,234.76, 7,223.82 and 3,111.24

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Solution

The fourth proportional to 5,234.76, 7,223.82 and 3,111.24 is: 4,293.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.76 : 7,223.82 = 3,111.24 : x
  2. Step 2: Convert to fraction form
    5,234.76/7,223.82 = 3,111.24/x
  3. Step 3: Cross multiply
    5,234.76x = 7,223.82 × 3,111.24
  4. Step 4: Simplify right side
    5,234.76x = 22,475,053.16
  5. Step 5: Solve for x
    x = 22,475,053.16/5,234.76
  6. Step 6: Final answer
    x = 4,293.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.