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Finding the Fourth Proportional to 13,805.75, 20,715.81 and 7,568.70

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Solution

The fourth proportional to 13,805.75, 20,715.81 and 7,568.70 is: 11,356.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,805.75 : 20,715.81 = 7,568.70 : x
  2. Step 2: Convert to fraction form
    13,805.75/20,715.81 = 7,568.70/x
  3. Step 3: Cross multiply
    13,805.75x = 20,715.81 × 7,568.70
  4. Step 4: Simplify right side
    13,805.75x = 156,791,751.15
  5. Step 5: Solve for x
    x = 156,791,751.15/13,805.75
  6. Step 6: Final answer
    x = 11,356.99

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1.5x scale

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.