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Finding the Fourth Proportional to 8,945.16, 13,375.04 and 8,160.93

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Solution

The fourth proportional to 8,945.16, 13,375.04 and 8,160.93 is: 12,202.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,945.16 : 13,375.04 = 8,160.93 : x
  2. Step 2: Convert to fraction form
    8,945.16/13,375.04 = 8,160.93/x
  3. Step 3: Cross multiply
    8,945.16x = 13,375.04 × 8,160.93
  4. Step 4: Simplify right side
    8,945.16x = 109,152,724.38
  5. Step 5: Solve for x
    x = 109,152,724.38/8,945.16
  6. Step 6: Final answer
    x = 12,202.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.