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Finding the Fourth Proportional to 13,180.50, 18,189.66 and 7,591.50

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Solution

The fourth proportional to 13,180.50, 18,189.66 and 7,591.50 is: 10,476.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,180.50 : 18,189.66 = 7,591.50 : x
  2. Step 2: Convert to fraction form
    13,180.50/18,189.66 = 7,591.50/x
  3. Step 3: Cross multiply
    13,180.50x = 18,189.66 × 7,591.50
  4. Step 4: Simplify right side
    13,180.50x = 138,086,803.89
  5. Step 5: Solve for x
    x = 138,086,803.89/13,180.50
  6. Step 6: Final answer
    x = 10,476.60

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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.