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Finding the Fourth Proportional to 13,705.66, 20,568.21 and 4,940.65

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Solution

The fourth proportional to 13,705.66, 20,568.21 and 4,940.65 is: 7,414.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.66 : 20,568.21 = 4,940.65 : x
  2. Step 2: Convert to fraction form
    13,705.66/20,568.21 = 4,940.65/x
  3. Step 3: Cross multiply
    13,705.66x = 20,568.21 × 4,940.65
  4. Step 4: Simplify right side
    13,705.66x = 101,620,326.74
  5. Step 5: Solve for x
    x = 101,620,326.74/13,705.66
  6. Step 6: Final answer
    x = 7,414.48

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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.