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Finding the Fourth Proportional to 3,913.77, 5,401.13 and 2,234.82

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Solution

The fourth proportional to 3,913.77, 5,401.13 and 2,234.82 is: 3,084.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,913.77 : 5,401.13 = 2,234.82 : x
  2. Step 2: Convert to fraction form
    3,913.77/5,401.13 = 2,234.82/x
  3. Step 3: Cross multiply
    3,913.77x = 5,401.13 × 2,234.82
  4. Step 4: Simplify right side
    3,913.77x = 12,070,553.35
  5. Step 5: Solve for x
    x = 12,070,553.35/3,913.77
  6. Step 6: Final answer
    x = 3,084.12

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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.