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Finding the Fourth Proportional to 6,718.87, 10,076.68 and 2,101.87

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Solution

The fourth proportional to 6,718.87, 10,076.68 and 2,101.87 is: 3,152.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,718.87 : 10,076.68 = 2,101.87 : x
  2. Step 2: Convert to fraction form
    6,718.87/10,076.68 = 2,101.87/x
  3. Step 3: Cross multiply
    6,718.87x = 10,076.68 × 2,101.87
  4. Step 4: Simplify right side
    6,718.87x = 21,179,871.39
  5. Step 5: Solve for x
    x = 21,179,871.39/6,718.87
  6. Step 6: Final answer
    x = 3,152.30

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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.