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Finding the Fourth Proportional to 7,834, 10,811.88 and 4,522

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Solution

The fourth proportional to 7,834, 10,811.88 and 4,522 is: 6,240.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834 : 10,811.88 = 4,522 : x
  2. Step 2: Convert to fraction form
    7,834/10,811.88 = 4,522/x
  3. Step 3: Cross multiply
    7,834x = 10,811.88 × 4,522
  4. Step 4: Simplify right side
    7,834x = 48,891,321.36
  5. Step 5: Solve for x
    x = 48,891,321.36/7,834
  6. Step 6: Final answer
    x = 6,240.91

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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.