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Finding the Fourth Proportional to 10,801.63, 16,201.32 and 3,405.88

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Solution

The fourth proportional to 10,801.63, 16,201.32 and 3,405.88 is: 5,108.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,801.63 : 16,201.32 = 3,405.88 : x
  2. Step 2: Convert to fraction form
    10,801.63/16,201.32 = 3,405.88/x
  3. Step 3: Cross multiply
    10,801.63x = 16,201.32 × 3,405.88
  4. Step 4: Simplify right side
    10,801.63x = 55,179,751.76
  5. Step 5: Solve for x
    x = 55,179,751.76/10,801.63
  6. Step 6: Final answer
    x = 5,108.47

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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.