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Finding the Fourth Proportional to 18,761, 28,141.50 and 7,673.72

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Solution

The fourth proportional to 18,761, 28,141.50 and 7,673.72 is: 11,510.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,761 : 28,141.50 = 7,673.72 : x
  2. Step 2: Convert to fraction form
    18,761/28,141.50 = 7,673.72/x
  3. Step 3: Cross multiply
    18,761x = 28,141.50 × 7,673.72
  4. Step 4: Simplify right side
    18,761x = 215,949,991.38
  5. Step 5: Solve for x
    x = 215,949,991.38/18,761
  6. Step 6: Final answer
    x = 11,510.58

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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.