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Finding the Fourth Proportional to 2,679.49, 4,019.06 and 830.46

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Solution

The fourth proportional to 2,679.49, 4,019.06 and 830.46 is: 1,245.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.49 : 4,019.06 = 830.46 : x
  2. Step 2: Convert to fraction form
    2,679.49/4,019.06 = 830.46/x
  3. Step 3: Cross multiply
    2,679.49x = 4,019.06 × 830.46
  4. Step 4: Simplify right side
    2,679.49x = 3,337,670.64
  5. Step 5: Solve for x
    x = 3,337,670.64/2,679.49
  6. Step 6: Final answer
    x = 1,245.64

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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.