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Finding the Fourth Proportional to 3,059, 4,219.50 and 2,439.48

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Solution

The fourth proportional to 3,059, 4,219.50 and 2,439.48 is: 3,364.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059 : 4,219.50 = 2,439.48 : x
  2. Step 2: Convert to fraction form
    3,059/4,219.50 = 2,439.48/x
  3. Step 3: Cross multiply
    3,059x = 4,219.50 × 2,439.48
  4. Step 4: Simplify right side
    3,059x = 10,293,385.86
  5. Step 5: Solve for x
    x = 10,293,385.86/3,059
  6. Step 6: Final answer
    x = 3,364.95

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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.