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Finding the Fourth Proportional to 7,227.40, 10,838.40 and 5,029.60

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Solution

The fourth proportional to 7,227.40, 10,838.40 and 5,029.60 is: 7,542.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,227.40 : 10,838.40 = 5,029.60 : x
  2. Step 2: Convert to fraction form
    7,227.40/10,838.40 = 5,029.60/x
  3. Step 3: Cross multiply
    7,227.40x = 10,838.40 × 5,029.60
  4. Step 4: Simplify right side
    7,227.40x = 54,512,816.64
  5. Step 5: Solve for x
    x = 54,512,816.64/7,227.40
  6. Step 6: Final answer
    x = 7,542.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.