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Finding the Fourth Proportional to 7,821.32, 10,794 and 5,164.12

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Solution

The fourth proportional to 7,821.32, 10,794 and 5,164.12 is: 7,126.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.32 : 10,794 = 5,164.12 : x
  2. Step 2: Convert to fraction form
    7,821.32/10,794 = 5,164.12/x
  3. Step 3: Cross multiply
    7,821.32x = 10,794 × 5,164.12
  4. Step 4: Simplify right side
    7,821.32x = 55,741,511.28
  5. Step 5: Solve for x
    x = 55,741,511.28/7,821.32
  6. Step 6: Final answer
    x = 7,126.87

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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.