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Finding the Fourth Proportional to 8,126.31, 11,214.31 and 4,400.31

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Solution

The fourth proportional to 8,126.31, 11,214.31 and 4,400.31 is: 6,072.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,126.31 : 11,214.31 = 4,400.31 : x
  2. Step 2: Convert to fraction form
    8,126.31/11,214.31 = 4,400.31/x
  3. Step 3: Cross multiply
    8,126.31x = 11,214.31 × 4,400.31
  4. Step 4: Simplify right side
    8,126.31x = 49,346,440.44
  5. Step 5: Solve for x
    x = 49,346,440.44/8,126.31
  6. Step 6: Final answer
    x = 6,072.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.