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Finding the Fourth Proportional to 6,397.45, 8,828.11 and 3,564.65

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Solution

The fourth proportional to 6,397.45, 8,828.11 and 3,564.65 is: 4,919.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.45 : 8,828.11 = 3,564.65 : x
  2. Step 2: Convert to fraction form
    6,397.45/8,828.11 = 3,564.65/x
  3. Step 3: Cross multiply
    6,397.45x = 8,828.11 × 3,564.65
  4. Step 4: Simplify right side
    6,397.45x = 31,469,122.31
  5. Step 5: Solve for x
    x = 31,469,122.31/6,397.45
  6. Step 6: Final answer
    x = 4,919.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.