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Finding the Fourth Proportional to 9,122.78, 13,689.93 and 5,234.78

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Solution

The fourth proportional to 9,122.78, 13,689.93 and 5,234.78 is: 7,855.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.78 : 13,689.93 = 5,234.78 : x
  2. Step 2: Convert to fraction form
    9,122.78/13,689.93 = 5,234.78/x
  3. Step 3: Cross multiply
    9,122.78x = 13,689.93 × 5,234.78
  4. Step 4: Simplify right side
    9,122.78x = 71,663,771.77
  5. Step 5: Solve for x
    x = 71,663,771.77/9,122.78
  6. Step 6: Final answer
    x = 7,855.48

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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.