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Finding the Fourth Proportional to 3,874.96, 5,811.57 and 1,101.57

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Solution

The fourth proportional to 3,874.96, 5,811.57 and 1,101.57 is: 1,652.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.96 : 5,811.57 = 1,101.57 : x
  2. Step 2: Convert to fraction form
    3,874.96/5,811.57 = 1,101.57/x
  3. Step 3: Cross multiply
    3,874.96x = 5,811.57 × 1,101.57
  4. Step 4: Simplify right side
    3,874.96x = 6,401,857.93
  5. Step 5: Solve for x
    x = 6,401,857.93/3,874.96
  6. Step 6: Final answer
    x = 1,652.11

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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.