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Finding the Fourth Proportional to 12,322.13, 16,994.61 and 7,844.45

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Solution

The fourth proportional to 12,322.13, 16,994.61 and 7,844.45 is: 10,819.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,322.13 : 16,994.61 = 7,844.45 : x
  2. Step 2: Convert to fraction form
    12,322.13/16,994.61 = 7,844.45/x
  3. Step 3: Cross multiply
    12,322.13x = 16,994.61 × 7,844.45
  4. Step 4: Simplify right side
    12,322.13x = 133,313,283.44
  5. Step 5: Solve for x
    x = 133,313,283.44/12,322.13
  6. Step 6: Final answer
    x = 10,819.02

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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.