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Finding the Fourth Proportional to 7,832.84, 10,809 and 4,687.16

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Solution

The fourth proportional to 7,832.84, 10,809 and 4,687.16 is: 6,468.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.84 : 10,809 = 4,687.16 : x
  2. Step 2: Convert to fraction form
    7,832.84/10,809 = 4,687.16/x
  3. Step 3: Cross multiply
    7,832.84x = 10,809 × 4,687.16
  4. Step 4: Simplify right side
    7,832.84x = 50,663,512.44
  5. Step 5: Solve for x
    x = 50,663,512.44/7,832.84
  6. Step 6: Final answer
    x = 6,468.09

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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.