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Finding the Fourth Proportional to 3,138.74, 4,704.06 and 1,495.79

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Solution

The fourth proportional to 3,138.74, 4,704.06 and 1,495.79 is: 2,241.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.74 : 4,704.06 = 1,495.79 : x
  2. Step 2: Convert to fraction form
    3,138.74/4,704.06 = 1,495.79/x
  3. Step 3: Cross multiply
    3,138.74x = 4,704.06 × 1,495.79
  4. Step 4: Simplify right side
    3,138.74x = 7,036,285.91
  5. Step 5: Solve for x
    x = 7,036,285.91/3,138.74
  6. Step 6: Final answer
    x = 2,241.75

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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.