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Finding the Fourth Proportional to 3,806.58, 5,252.98 and 2,128.01

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Solution

The fourth proportional to 3,806.58, 5,252.98 and 2,128.01 is: 2,936.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.58 : 5,252.98 = 2,128.01 : x
  2. Step 2: Convert to fraction form
    3,806.58/5,252.98 = 2,128.01/x
  3. Step 3: Cross multiply
    3,806.58x = 5,252.98 × 2,128.01
  4. Step 4: Simplify right side
    3,806.58x = 11,178,393.97
  5. Step 5: Solve for x
    x = 11,178,393.97/3,806.58
  6. Step 6: Final answer
    x = 2,936.60

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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.