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Finding the Fourth Proportional to 15,340, 22,996.28 and 5,477.84

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Solution

The fourth proportional to 15,340, 22,996.28 and 5,477.84 is: 8,211.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,340 : 22,996.28 = 5,477.84 : x
  2. Step 2: Convert to fraction form
    15,340/22,996.28 = 5,477.84/x
  3. Step 3: Cross multiply
    15,340x = 22,996.28 × 5,477.84
  4. Step 4: Simplify right side
    15,340x = 125,969,942.44
  5. Step 5: Solve for x
    x = 125,969,942.44/15,340
  6. Step 6: Final answer
    x = 8,211.86

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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.