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Finding the Fourth Proportional to 7,694.92, 11,477.57 and 6,447.88

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Solution

The fourth proportional to 7,694.92, 11,477.57 and 6,447.88 is: 9,617.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.92 : 11,477.57 = 6,447.88 : x
  2. Step 2: Convert to fraction form
    7,694.92/11,477.57 = 6,447.88/x
  3. Step 3: Cross multiply
    7,694.92x = 11,477.57 × 6,447.88
  4. Step 4: Simplify right side
    7,694.92x = 74,005,994.05
  5. Step 5: Solve for x
    x = 74,005,994.05/7,694.92
  6. Step 6: Final answer
    x = 9,617.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.