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Finding the Fourth Proportional to 13,180.50, 18,186.17 and 8,077.10

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Solution

The fourth proportional to 13,180.50, 18,186.17 and 8,077.10 is: 11,144.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,180.50 : 18,186.17 = 8,077.10 : x
  2. Step 2: Convert to fraction form
    13,180.50/18,186.17 = 8,077.10/x
  3. Step 3: Cross multiply
    13,180.50x = 18,186.17 × 8,077.10
  4. Step 4: Simplify right side
    13,180.50x = 146,891,382.39
  5. Step 5: Solve for x
    x = 146,891,382.39/13,180.50
  6. Step 6: Final answer
    x = 11,144.60

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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.