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Finding the Fourth Proportional to 8,261.31, 11,400.42 and 4,724.31

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Solution

The fourth proportional to 8,261.31, 11,400.42 and 4,724.31 is: 6,519.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,261.31 : 11,400.42 = 4,724.31 : x
  2. Step 2: Convert to fraction form
    8,261.31/11,400.42 = 4,724.31/x
  3. Step 3: Cross multiply
    8,261.31x = 11,400.42 × 4,724.31
  4. Step 4: Simplify right side
    8,261.31x = 53,859,118.21
  5. Step 5: Solve for x
    x = 53,859,118.21/8,261.31
  6. Step 6: Final answer
    x = 6,519.44

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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.