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Finding the Fourth Proportional to 6,964.88, 9,612.36 and 4,170.32

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Solution

The fourth proportional to 6,964.88, 9,612.36 and 4,170.32 is: 5,755.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.88 : 9,612.36 = 4,170.32 : x
  2. Step 2: Convert to fraction form
    6,964.88/9,612.36 = 4,170.32/x
  3. Step 3: Cross multiply
    6,964.88x = 9,612.36 × 4,170.32
  4. Step 4: Simplify right side
    6,964.88x = 40,086,617.16
  5. Step 5: Solve for x
    x = 40,086,617.16/6,964.88
  6. Step 6: Final answer
    x = 5,755.54

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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.