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Finding the Fourth Proportional to 12,287.91, 16,956.81 and 7,252.32

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Solution

The fourth proportional to 12,287.91, 16,956.81 and 7,252.32 is: 10,007.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,287.91 : 16,956.81 = 7,252.32 : x
  2. Step 2: Convert to fraction form
    12,287.91/16,956.81 = 7,252.32/x
  3. Step 3: Cross multiply
    12,287.91x = 16,956.81 × 7,252.32
  4. Step 4: Simplify right side
    12,287.91x = 122,976,212.30
  5. Step 5: Solve for x
    x = 122,976,212.30/12,287.91
  6. Step 6: Final answer
    x = 10,007.90

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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.