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Finding the Fourth Proportional to 3,806.52, 5,252.90 and 2,128.00

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Solution

The fourth proportional to 3,806.52, 5,252.90 and 2,128.00 is: 2,936.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.52 : 5,252.90 = 2,128.00 : x
  2. Step 2: Convert to fraction form
    3,806.52/5,252.90 = 2,128.00/x
  3. Step 3: Cross multiply
    3,806.52x = 5,252.90 × 2,128.00
  4. Step 4: Simplify right side
    3,806.52x = 11,178,154.47
  5. Step 5: Solve for x
    x = 11,178,154.47/3,806.52
  6. Step 6: Final answer
    x = 2,936.58

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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.