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Finding the Fourth Proportional to 13,086.02, 18,059.20 and 7,786.20

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Solution

The fourth proportional to 13,086.02, 18,059.20 and 7,786.20 is: 10,745.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,086.02 : 18,059.20 = 7,786.20 : x
  2. Step 2: Convert to fraction form
    13,086.02/18,059.20 = 7,786.20/x
  3. Step 3: Cross multiply
    13,086.02x = 18,059.20 × 7,786.20
  4. Step 4: Simplify right side
    13,086.02x = 140,612,543.04
  5. Step 5: Solve for x
    x = 140,612,543.04/13,086.02
  6. Step 6: Final answer
    x = 10,745.25

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.