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Finding the Fourth Proportional to 13,180, 18,188.41 and 7,211.62

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Solution

The fourth proportional to 13,180, 18,188.41 and 7,211.62 is: 9,952.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,180 : 18,188.41 = 7,211.62 : x
  2. Step 2: Convert to fraction form
    13,180/18,188.41 = 7,211.62/x
  3. Step 3: Cross multiply
    13,180x = 18,188.41 × 7,211.62
  4. Step 4: Simplify right side
    13,180x = 131,167,901.32
  5. Step 5: Solve for x
    x = 131,167,901.32/13,180
  6. Step 6: Final answer
    x = 9,952.04

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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.