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Finding the Fourth Proportional to 11,197.46, 15,454 and 7,230.12

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Solution

The fourth proportional to 11,197.46, 15,454 and 7,230.12 is: 9,978.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,197.46 : 15,454 = 7,230.12 : x
  2. Step 2: Convert to fraction form
    11,197.46/15,454 = 7,230.12/x
  3. Step 3: Cross multiply
    11,197.46x = 15,454 × 7,230.12
  4. Step 4: Simplify right side
    11,197.46x = 111,734,274.48
  5. Step 5: Solve for x
    x = 111,734,274.48/11,197.46
  6. Step 6: Final answer
    x = 9,978.54

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Why These Related Problems?

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