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Finding the Fourth Proportional to 14,568.75, 21,856.97 and 5,209.70

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Solution

The fourth proportional to 14,568.75, 21,856.97 and 5,209.70 is: 7,815.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,568.75 : 21,856.97 = 5,209.70 : x
  2. Step 2: Convert to fraction form
    14,568.75/21,856.97 = 5,209.70/x
  3. Step 3: Cross multiply
    14,568.75x = 21,856.97 × 5,209.70
  4. Step 4: Simplify right side
    14,568.75x = 113,868,121.28
  5. Step 5: Solve for x
    x = 113,868,121.28/14,568.75
  6. Step 6: Final answer
    x = 7,815.92

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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.