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Finding the Fourth Proportional to 7,324.70, 10,107.87 and 4,138.15

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Solution

The fourth proportional to 7,324.70, 10,107.87 and 4,138.15 is: 5,710.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,324.70 : 10,107.87 = 4,138.15 : x
  2. Step 2: Convert to fraction form
    7,324.70/10,107.87 = 4,138.15/x
  3. Step 3: Cross multiply
    7,324.70x = 10,107.87 × 4,138.15
  4. Step 4: Simplify right side
    7,324.70x = 41,827,831.70
  5. Step 5: Solve for x
    x = 41,827,831.70/7,324.70
  6. Step 6: Final answer
    x = 5,710.52

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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.