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Finding the Fourth Proportional to 7,739, 10,679.82 and 4,202.24

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Solution

The fourth proportional to 7,739, 10,679.82 and 4,202.24 is: 5,799.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,739 : 10,679.82 = 4,202.24 : x
  2. Step 2: Convert to fraction form
    7,739/10,679.82 = 4,202.24/x
  3. Step 3: Cross multiply
    7,739x = 10,679.82 × 4,202.24
  4. Step 4: Simplify right side
    7,739x = 44,879,166.80
  5. Step 5: Solve for x
    x = 44,879,166.80/7,739
  6. Step 6: Final answer
    x = 5,799.09

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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.