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Finding the Fourth Proportional to 8,945.87, 13,414.23 and 5,255.30

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Solution

The fourth proportional to 8,945.87, 13,414.23 and 5,255.30 is: 7,880.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,945.87 : 13,414.23 = 5,255.30 : x
  2. Step 2: Convert to fraction form
    8,945.87/13,414.23 = 5,255.30/x
  3. Step 3: Cross multiply
    8,945.87x = 13,414.23 × 5,255.30
  4. Step 4: Simplify right side
    8,945.87x = 70,495,836.45
  5. Step 5: Solve for x
    x = 70,495,836.45/8,945.87
  6. Step 6: Final answer
    x = 7,880.27

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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.