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Finding the Fourth Proportional to 6,981.63, 9,633.84 and 3,997.28

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Solution

The fourth proportional to 6,981.63, 9,633.84 and 3,997.28 is: 5,515.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981.63 : 9,633.84 = 3,997.28 : x
  2. Step 2: Convert to fraction form
    6,981.63/9,633.84 = 3,997.28/x
  3. Step 3: Cross multiply
    6,981.63x = 9,633.84 × 3,997.28
  4. Step 4: Simplify right side
    6,981.63x = 38,509,165.05
  5. Step 5: Solve for x
    x = 38,509,165.05/6,981.63
  6. Step 6: Final answer
    x = 5,515.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.