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Finding the Fourth Proportional to 5,109, 7,659.42 and 2,644.20

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Solution

The fourth proportional to 5,109, 7,659.42 and 2,644.20 is: 3,964.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109 : 7,659.42 = 2,644.20 : x
  2. Step 2: Convert to fraction form
    5,109/7,659.42 = 2,644.20/x
  3. Step 3: Cross multiply
    5,109x = 7,659.42 × 2,644.20
  4. Step 4: Simplify right side
    5,109x = 20,253,038.36
  5. Step 5: Solve for x
    x = 20,253,038.36/5,109
  6. Step 6: Final answer
    x = 3,964.19

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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.