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Finding the Fourth Proportional to 3,747.68, 5,172.63 and 2,176.01

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Solution

The fourth proportional to 3,747.68, 5,172.63 and 2,176.01 is: 3,003.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.68 : 5,172.63 = 2,176.01 : x
  2. Step 2: Convert to fraction form
    3,747.68/5,172.63 = 2,176.01/x
  3. Step 3: Cross multiply
    3,747.68x = 5,172.63 × 2,176.01
  4. Step 4: Simplify right side
    3,747.68x = 11,255,694.61
  5. Step 5: Solve for x
    x = 11,255,694.61/3,747.68
  6. Step 6: Final answer
    x = 3,003.38

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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.