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Finding the Fourth Proportional to 3,886.17, 5,829.45 and 1,937.71

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Solution

The fourth proportional to 3,886.17, 5,829.45 and 1,937.71 is: 2,906.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.17 : 5,829.45 = 1,937.71 : x
  2. Step 2: Convert to fraction form
    3,886.17/5,829.45 = 1,937.71/x
  3. Step 3: Cross multiply
    3,886.17x = 5,829.45 × 1,937.71
  4. Step 4: Simplify right side
    3,886.17x = 11,295,783.56
  5. Step 5: Solve for x
    x = 11,295,783.56/3,886.17
  6. Step 6: Final answer
    x = 2,906.66

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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.