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Finding the Fourth Proportional to 22,775.52, 34,178.70 and 7,984.56

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Solution

The fourth proportional to 22,775.52, 34,178.70 and 7,984.56 is: 11,982.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,775.52 : 34,178.70 = 7,984.56 : x
  2. Step 2: Convert to fraction form
    22,775.52/34,178.70 = 7,984.56/x
  3. Step 3: Cross multiply
    22,775.52x = 34,178.70 × 7,984.56
  4. Step 4: Simplify right side
    22,775.52x = 272,901,880.87
  5. Step 5: Solve for x
    x = 272,901,880.87/22,775.52
  6. Step 6: Final answer
    x = 11,982.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.