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Finding the Fourth Proportional to 12,406, 17,120.28 and 7,694.24

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Solution

The fourth proportional to 12,406, 17,120.28 and 7,694.24 is: 10,618.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406 : 17,120.28 = 7,694.24 : x
  2. Step 2: Convert to fraction form
    12,406/17,120.28 = 7,694.24/x
  3. Step 3: Cross multiply
    12,406x = 17,120.28 × 7,694.24
  4. Step 4: Simplify right side
    12,406x = 131,727,543.19
  5. Step 5: Solve for x
    x = 131,727,543.19/12,406
  6. Step 6: Final answer
    x = 10,618.05

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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.