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Finding the Fourth Proportional to 28,863.92, 43,282.92 and 13,286

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Solution

The fourth proportional to 28,863.92, 43,282.92 and 13,286 is: 19,923.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,863.92 : 43,282.92 = 13,286 : x
  2. Step 2: Convert to fraction form
    28,863.92/43,282.92 = 13,286/x
  3. Step 3: Cross multiply
    28,863.92x = 43,282.92 × 13,286
  4. Step 4: Simplify right side
    28,863.92x = 575,056,875.12
  5. Step 5: Solve for x
    x = 575,056,875.12/28,863.92
  6. Step 6: Final answer
    x = 19,923.03

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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.