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Finding the Fourth Proportional to 11,250, 16,863.48 and 4,680

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Solution

The fourth proportional to 11,250, 16,863.48 and 4,680 is: 7,015.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,250 : 16,863.48 = 4,680 : x
  2. Step 2: Convert to fraction form
    11,250/16,863.48 = 4,680/x
  3. Step 3: Cross multiply
    11,250x = 16,863.48 × 4,680
  4. Step 4: Simplify right side
    11,250x = 78,921,086.40
  5. Step 5: Solve for x
    x = 78,921,086.40/11,250
  6. Step 6: Final answer
    x = 7,015.21

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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.