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Finding the Fourth Proportional to 22,768.97, 34,168.79 and 7,978.01

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Solution

The fourth proportional to 22,768.97, 34,168.79 and 7,978.01 is: 11,972.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,768.97 : 34,168.79 = 7,978.01 : x
  2. Step 2: Convert to fraction form
    22,768.97/34,168.79 = 7,978.01/x
  3. Step 3: Cross multiply
    22,768.97x = 34,168.79 × 7,978.01
  4. Step 4: Simplify right side
    22,768.97x = 272,598,737.57
  5. Step 5: Solve for x
    x = 272,598,737.57/22,768.97
  6. Step 6: Final answer
    x = 11,972.38

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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.