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Finding the Fourth Proportional to 12,191.63, 18,287.44 and 2,957.63

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Solution

The fourth proportional to 12,191.63, 18,287.44 and 2,957.63 is: 4,436.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,191.63 : 18,287.44 = 2,957.63 : x
  2. Step 2: Convert to fraction form
    12,191.63/18,287.44 = 2,957.63/x
  3. Step 3: Cross multiply
    12,191.63x = 18,287.44 × 2,957.63
  4. Step 4: Simplify right side
    12,191.63x = 54,087,481.17
  5. Step 5: Solve for x
    x = 54,087,481.17/12,191.63
  6. Step 6: Final answer
    x = 4,436.44

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Half scale
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Double scale
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Similar ratio
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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.