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Finding the Fourth Proportional to 3,806.71, 5,253.14 and 2,128.12

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Solution

The fourth proportional to 3,806.71, 5,253.14 and 2,128.12 is: 2,936.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.71 : 5,253.14 = 2,128.12 : x
  2. Step 2: Convert to fraction form
    3,806.71/5,253.14 = 2,128.12/x
  3. Step 3: Cross multiply
    3,806.71x = 5,253.14 × 2,128.12
  4. Step 4: Simplify right side
    3,806.71x = 11,179,312.30
  5. Step 5: Solve for x
    x = 11,179,312.30/3,806.71
  6. Step 6: Final answer
    x = 2,936.74

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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.