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Finding the Fourth Proportional to 4,489.31, 6,728.10 and 2,800.01

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Solution

The fourth proportional to 4,489.31, 6,728.10 and 2,800.01 is: 4,196.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,489.31 : 6,728.10 = 2,800.01 : x
  2. Step 2: Convert to fraction form
    4,489.31/6,728.10 = 2,800.01/x
  3. Step 3: Cross multiply
    4,489.31x = 6,728.10 × 2,800.01
  4. Step 4: Simplify right side
    4,489.31x = 18,838,747.28
  5. Step 5: Solve for x
    x = 18,838,747.28/4,489.31
  6. Step 6: Final answer
    x = 4,196.36

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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.