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Finding the Fourth Proportional to 6,908.26, 10,361.42 and 1,978.32

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Solution

The fourth proportional to 6,908.26, 10,361.42 and 1,978.32 is: 2,967.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,908.26 : 10,361.42 = 1,978.32 : x
  2. Step 2: Convert to fraction form
    6,908.26/10,361.42 = 1,978.32/x
  3. Step 3: Cross multiply
    6,908.26x = 10,361.42 × 1,978.32
  4. Step 4: Simplify right side
    6,908.26x = 20,498,204.41
  5. Step 5: Solve for x
    x = 20,498,204.41/6,908.26
  6. Step 6: Final answer
    x = 2,967.20

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1.5x scale

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.