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Finding the Fourth Proportional to 5,105, 7,657.44 and 2,644.64

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Solution

The fourth proportional to 5,105, 7,657.44 and 2,644.64 is: 3,966.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105 : 7,657.44 = 2,644.64 : x
  2. Step 2: Convert to fraction form
    5,105/7,657.44 = 2,644.64/x
  3. Step 3: Cross multiply
    5,105x = 7,657.44 × 2,644.64
  4. Step 4: Simplify right side
    5,105x = 20,251,172.12
  5. Step 5: Solve for x
    x = 20,251,172.12/5,105
  6. Step 6: Final answer
    x = 3,966.93

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Double scale
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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.