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Finding the Fourth Proportional to 6,781.47, 10,172.47 and 2,101.96

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Solution

The fourth proportional to 6,781.47, 10,172.47 and 2,101.96 is: 3,153.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.47 : 10,172.47 = 2,101.96 : x
  2. Step 2: Convert to fraction form
    6,781.47/10,172.47 = 2,101.96/x
  3. Step 3: Cross multiply
    6,781.47x = 10,172.47 × 2,101.96
  4. Step 4: Simplify right side
    6,781.47x = 21,382,125.04
  5. Step 5: Solve for x
    x = 21,382,125.04/6,781.47
  6. Step 6: Final answer
    x = 3,153.02

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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.