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Finding the Fourth Proportional to 18,833.16, 28,238.81 and 7,140

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Solution

The fourth proportional to 18,833.16, 28,238.81 and 7,140 is: 10,705.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,833.16 : 28,238.81 = 7,140 : x
  2. Step 2: Convert to fraction form
    18,833.16/28,238.81 = 7,140/x
  3. Step 3: Cross multiply
    18,833.16x = 28,238.81 × 7,140
  4. Step 4: Simplify right side
    18,833.16x = 201,625,067.70
  5. Step 5: Solve for x
    x = 201,625,067.70/18,833.16
  6. Step 6: Final answer
    x = 10,705.85

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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.