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Finding the Fourth Proportional to 3,776.70, 5,212.10 and 2,284.68

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Solution

The fourth proportional to 3,776.70, 5,212.10 and 2,284.68 is: 3,153.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.70 : 5,212.10 = 2,284.68 : x
  2. Step 2: Convert to fraction form
    3,776.70/5,212.10 = 2,284.68/x
  3. Step 3: Cross multiply
    3,776.70x = 5,212.10 × 2,284.68
  4. Step 4: Simplify right side
    3,776.70x = 11,907,969.20
  5. Step 5: Solve for x
    x = 11,907,969.20/3,776.70
  6. Step 6: Final answer
    x = 3,153.01

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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.