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Finding the Fourth Proportional to 6,978.28, 10,465.20 and 2,297.20

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Solution

The fourth proportional to 6,978.28, 10,465.20 and 2,297.20 is: 3,445.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.28 : 10,465.20 = 2,297.20 : x
  2. Step 2: Convert to fraction form
    6,978.28/10,465.20 = 2,297.20/x
  3. Step 3: Cross multiply
    6,978.28x = 10,465.20 × 2,297.20
  4. Step 4: Simplify right side
    6,978.28x = 24,040,657.44
  5. Step 5: Solve for x
    x = 24,040,657.44/6,978.28
  6. Step 6: Final answer
    x = 3,445.07

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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.