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Finding the Fourth Proportional to 3,837.78, 5,713.07 and 3,658.86

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Solution

The fourth proportional to 3,837.78, 5,713.07 and 3,658.86 is: 5,446.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837.78 : 5,713.07 = 3,658.86 : x
  2. Step 2: Convert to fraction form
    3,837.78/5,713.07 = 3,658.86/x
  3. Step 3: Cross multiply
    3,837.78x = 5,713.07 × 3,658.86
  4. Step 4: Simplify right side
    3,837.78x = 20,903,305.01
  5. Step 5: Solve for x
    x = 20,903,305.01/3,837.78
  6. Step 6: Final answer
    x = 5,446.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.