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Finding the Fourth Proportional to 2,778.47, 3,834.43 and 1,599.71

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Solution

The fourth proportional to 2,778.47, 3,834.43 and 1,599.71 is: 2,207.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.47 : 3,834.43 = 1,599.71 : x
  2. Step 2: Convert to fraction form
    2,778.47/3,834.43 = 1,599.71/x
  3. Step 3: Cross multiply
    2,778.47x = 3,834.43 × 1,599.71
  4. Step 4: Simplify right side
    2,778.47x = 6,133,976.02
  5. Step 5: Solve for x
    x = 6,133,976.02/2,778.47
  6. Step 6: Final answer
    x = 2,207.68

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1.5x scale

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.