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Finding the Fourth Proportional to 6,679.24, 10,019.13 and 2,980.78

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Solution

The fourth proportional to 6,679.24, 10,019.13 and 2,980.78 is: 4,471.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,679.24 : 10,019.13 = 2,980.78 : x
  2. Step 2: Convert to fraction form
    6,679.24/10,019.13 = 2,980.78/x
  3. Step 3: Cross multiply
    6,679.24x = 10,019.13 × 2,980.78
  4. Step 4: Simplify right side
    6,679.24x = 29,864,822.32
  5. Step 5: Solve for x
    x = 29,864,822.32/6,679.24
  6. Step 6: Final answer
    x = 4,471.29

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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.