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Finding the Fourth Proportional to 7,832, 10,809.12 and 4,520

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Solution

The fourth proportional to 7,832, 10,809.12 and 4,520 is: 6,238.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832 : 10,809.12 = 4,520 : x
  2. Step 2: Convert to fraction form
    7,832/10,809.12 = 4,520/x
  3. Step 3: Cross multiply
    7,832x = 10,809.12 × 4,520
  4. Step 4: Simplify right side
    7,832x = 48,857,222.40
  5. Step 5: Solve for x
    x = 48,857,222.40/7,832
  6. Step 6: Final answer
    x = 6,238.15

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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.