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Finding the Fourth Proportional to 9,964.91, 13,757.30 and 6,612.32

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Solution

The fourth proportional to 9,964.91, 13,757.30 and 6,612.32 is: 9,128.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.91 : 13,757.30 = 6,612.32 : x
  2. Step 2: Convert to fraction form
    9,964.91/13,757.30 = 6,612.32/x
  3. Step 3: Cross multiply
    9,964.91x = 13,757.30 × 6,612.32
  4. Step 4: Simplify right side
    9,964.91x = 90,967,568.09
  5. Step 5: Solve for x
    x = 90,967,568.09/9,964.91
  6. Step 6: Final answer
    x = 9,128.79

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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.