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Finding the Fourth Proportional to 7,772.05, 11,658.03 and 1,928.61

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Solution

The fourth proportional to 7,772.05, 11,658.03 and 1,928.61 is: 2,892.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.05 : 11,658.03 = 1,928.61 : x
  2. Step 2: Convert to fraction form
    7,772.05/11,658.03 = 1,928.61/x
  3. Step 3: Cross multiply
    7,772.05x = 11,658.03 × 1,928.61
  4. Step 4: Simplify right side
    7,772.05x = 22,483,786.01
  5. Step 5: Solve for x
    x = 22,483,786.01/7,772.05
  6. Step 6: Final answer
    x = 2,892.90

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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.