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Finding the Fourth Proportional to 3,776.84, 5,666.78 and 1,828.84

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Solution

The fourth proportional to 3,776.84, 5,666.78 and 1,828.84 is: 2,744.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.84 : 5,666.78 = 1,828.84 : x
  2. Step 2: Convert to fraction form
    3,776.84/5,666.78 = 1,828.84/x
  3. Step 3: Cross multiply
    3,776.84x = 5,666.78 × 1,828.84
  4. Step 4: Simplify right side
    3,776.84x = 10,363,633.94
  5. Step 5: Solve for x
    x = 10,363,633.94/3,776.84
  6. Step 6: Final answer
    x = 2,744.00

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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.