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Finding the Fourth Proportional to 9,229.72, 13,826.22 and 7,142.44

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Solution

The fourth proportional to 9,229.72, 13,826.22 and 7,142.44 is: 10,699.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.72 : 13,826.22 = 7,142.44 : x
  2. Step 2: Convert to fraction form
    9,229.72/13,826.22 = 7,142.44/x
  3. Step 3: Cross multiply
    9,229.72x = 13,826.22 × 7,142.44
  4. Step 4: Simplify right side
    9,229.72x = 98,752,946.78
  5. Step 5: Solve for x
    x = 98,752,946.78/9,229.72
  6. Step 6: Final answer
    x = 10,699.45

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1.5x scale

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.