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Finding the Fourth Proportional to 12,197, 16,832.58 and 6,891.68

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Solution

The fourth proportional to 12,197, 16,832.58 and 6,891.68 is: 9,510.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,197 : 16,832.58 = 6,891.68 : x
  2. Step 2: Convert to fraction form
    12,197/16,832.58 = 6,891.68/x
  3. Step 3: Cross multiply
    12,197x = 16,832.58 × 6,891.68
  4. Step 4: Simplify right side
    12,197x = 116,004,754.93
  5. Step 5: Solve for x
    x = 116,004,754.93/12,197
  6. Step 6: Final answer
    x = 9,510.93

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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.