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Finding the Fourth Proportional to 3,138.98, 4,708.50 and 798.99

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Solution

The fourth proportional to 3,138.98, 4,708.50 and 798.99 is: 1,198.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.98 : 4,708.50 = 798.99 : x
  2. Step 2: Convert to fraction form
    3,138.98/4,708.50 = 798.99/x
  3. Step 3: Cross multiply
    3,138.98x = 4,708.50 × 798.99
  4. Step 4: Simplify right side
    3,138.98x = 3,762,044.42
  5. Step 5: Solve for x
    x = 3,762,044.42/3,138.98
  6. Step 6: Final answer
    x = 1,198.49

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1.5x scale

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.