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Finding the Fourth Proportional to 15,622.43, 23,428.74 and 5,231.75

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Solution

The fourth proportional to 15,622.43, 23,428.74 and 5,231.75 is: 7,845.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,622.43 : 23,428.74 = 5,231.75 : x
  2. Step 2: Convert to fraction form
    15,622.43/23,428.74 = 5,231.75/x
  3. Step 3: Cross multiply
    15,622.43x = 23,428.74 × 5,231.75
  4. Step 4: Simplify right side
    15,622.43x = 122,573,310.50
  5. Step 5: Solve for x
    x = 122,573,310.50/15,622.43
  6. Step 6: Final answer
    x = 7,845.98

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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.