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Finding the Fourth Proportional to 13,102, 18,079.66 and 9,131.64

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Solution

The fourth proportional to 13,102, 18,079.66 and 9,131.64 is: 12,600.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,102 : 18,079.66 = 9,131.64 : x
  2. Step 2: Convert to fraction form
    13,102/18,079.66 = 9,131.64/x
  3. Step 3: Cross multiply
    13,102x = 18,079.66 × 9,131.64
  4. Step 4: Simplify right side
    13,102x = 165,096,946.44
  5. Step 5: Solve for x
    x = 165,096,946.44/13,102
  6. Step 6: Final answer
    x = 12,600.90

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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.