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Finding the Fourth Proportional to 6,761.59, 9,330.54 and 5,169.31

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Solution

The fourth proportional to 6,761.59, 9,330.54 and 5,169.31 is: 7,133.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,761.59 : 9,330.54 = 5,169.31 : x
  2. Step 2: Convert to fraction form
    6,761.59/9,330.54 = 5,169.31/x
  3. Step 3: Cross multiply
    6,761.59x = 9,330.54 × 5,169.31
  4. Step 4: Simplify right side
    6,761.59x = 48,232,453.73
  5. Step 5: Solve for x
    x = 48,232,453.73/6,761.59
  6. Step 6: Final answer
    x = 7,133.30

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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.