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Finding the Fourth Proportional to 3,780, 5,666.76 and 3,084.84

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Solution

The fourth proportional to 3,780, 5,666.76 and 3,084.84 is: 4,624.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780 : 5,666.76 = 3,084.84 : x
  2. Step 2: Convert to fraction form
    3,780/5,666.76 = 3,084.84/x
  3. Step 3: Cross multiply
    3,780x = 5,666.76 × 3,084.84
  4. Step 4: Simplify right side
    3,780x = 17,481,047.92
  5. Step 5: Solve for x
    x = 17,481,047.92/3,780
  6. Step 6: Final answer
    x = 4,624.62

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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.