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Finding the Fourth Proportional to 12,694.20, 17,519.08 and 7,390.68

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Solution

The fourth proportional to 12,694.20, 17,519.08 and 7,390.68 is: 10,199.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,694.20 : 17,519.08 = 7,390.68 : x
  2. Step 2: Convert to fraction form
    12,694.20/17,519.08 = 7,390.68/x
  3. Step 3: Cross multiply
    12,694.20x = 17,519.08 × 7,390.68
  4. Step 4: Simplify right side
    12,694.20x = 129,477,914.17
  5. Step 5: Solve for x
    x = 129,477,914.17/12,694.20
  6. Step 6: Final answer
    x = 10,199.77

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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.