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Finding the Fourth Proportional to 3,068.70, 4,601.70 and 1,425.75

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Solution

The fourth proportional to 3,068.70, 4,601.70 and 1,425.75 is: 2,138.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068.70 : 4,601.70 = 1,425.75 : x
  2. Step 2: Convert to fraction form
    3,068.70/4,601.70 = 1,425.75/x
  3. Step 3: Cross multiply
    3,068.70x = 4,601.70 × 1,425.75
  4. Step 4: Simplify right side
    3,068.70x = 6,560,873.78
  5. Step 5: Solve for x
    x = 6,560,873.78/3,068.70
  6. Step 6: Final answer
    x = 2,138.00

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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.