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Finding the Fourth Proportional to 13,157.73, 18,157.91 and 7,189.65

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Solution

The fourth proportional to 13,157.73, 18,157.91 and 7,189.65 is: 9,921.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,157.73 : 18,157.91 = 7,189.65 : x
  2. Step 2: Convert to fraction form
    13,157.73/18,157.91 = 7,189.65/x
  3. Step 3: Cross multiply
    13,157.73x = 18,157.91 × 7,189.65
  4. Step 4: Simplify right side
    13,157.73x = 130,548,981.68
  5. Step 5: Solve for x
    x = 130,548,981.68/13,157.73
  6. Step 6: Final answer
    x = 9,921.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.