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Finding the Fourth Proportional to 3,128.96, 4,694.22 and 937.74

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Solution

The fourth proportional to 3,128.96, 4,694.22 and 937.74 is: 1,406.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,128.96 : 4,694.22 = 937.74 : x
  2. Step 2: Convert to fraction form
    3,128.96/4,694.22 = 937.74/x
  3. Step 3: Cross multiply
    3,128.96x = 4,694.22 × 937.74
  4. Step 4: Simplify right side
    3,128.96x = 4,401,957.86
  5. Step 5: Solve for x
    x = 4,401,957.86/3,128.96
  6. Step 6: Final answer
    x = 1,406.84

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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.