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Finding the Fourth Proportional to 7,929.54, 11,906.61 and 7,578.90

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Solution

The fourth proportional to 7,929.54, 11,906.61 and 7,578.90 is: 11,380.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,929.54 : 11,906.61 = 7,578.90 : x
  2. Step 2: Convert to fraction form
    7,929.54/11,906.61 = 7,578.90/x
  3. Step 3: Cross multiply
    7,929.54x = 11,906.61 × 7,578.90
  4. Step 4: Simplify right side
    7,929.54x = 90,239,006.53
  5. Step 5: Solve for x
    x = 90,239,006.53/7,929.54
  6. Step 6: Final answer
    x = 11,380.11

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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.