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Finding the Fourth Proportional to 11,725, 17,591.82 and 6,178.12

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Solution

The fourth proportional to 11,725, 17,591.82 and 6,178.12 is: 9,269.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,725 : 17,591.82 = 6,178.12 : x
  2. Step 2: Convert to fraction form
    11,725/17,591.82 = 6,178.12/x
  3. Step 3: Cross multiply
    11,725x = 17,591.82 × 6,178.12
  4. Step 4: Simplify right side
    11,725x = 108,684,374.98
  5. Step 5: Solve for x
    x = 108,684,374.98/11,725
  6. Step 6: Final answer
    x = 9,269.46

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1.5x scale

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.