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Finding the Fourth Proportional to 12,197.84, 16,824.12 and 7,722.32

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Solution

The fourth proportional to 12,197.84, 16,824.12 and 7,722.32 is: 10,651.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,197.84 : 16,824.12 = 7,722.32 : x
  2. Step 2: Convert to fraction form
    12,197.84/16,824.12 = 7,722.32/x
  3. Step 3: Cross multiply
    12,197.84x = 16,824.12 × 7,722.32
  4. Step 4: Simplify right side
    12,197.84x = 129,921,238.36
  5. Step 5: Solve for x
    x = 129,921,238.36/12,197.84
  6. Step 6: Final answer
    x = 10,651.17

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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.