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Finding the Fourth Proportional to 6,928.66, 10,390.02 and 1,997.11

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Solution

The fourth proportional to 6,928.66, 10,390.02 and 1,997.11 is: 2,994.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,928.66 : 10,390.02 = 1,997.11 : x
  2. Step 2: Convert to fraction form
    6,928.66/10,390.02 = 1,997.11/x
  3. Step 3: Cross multiply
    6,928.66x = 10,390.02 × 1,997.11
  4. Step 4: Simplify right side
    6,928.66x = 20,750,012.84
  5. Step 5: Solve for x
    x = 20,750,012.84/6,928.66
  6. Step 6: Final answer
    x = 2,994.81

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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.