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Finding the Fourth Proportional to 3,811.84, 5,715.88 and 1,346.30

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Solution

The fourth proportional to 3,811.84, 5,715.88 and 1,346.30 is: 2,018.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811.84 : 5,715.88 = 1,346.30 : x
  2. Step 2: Convert to fraction form
    3,811.84/5,715.88 = 1,346.30/x
  3. Step 3: Cross multiply
    3,811.84x = 5,715.88 × 1,346.30
  4. Step 4: Simplify right side
    3,811.84x = 7,695,257.30
  5. Step 5: Solve for x
    x = 7,695,257.30/3,811.84
  6. Step 6: Final answer
    x = 2,018.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.