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Finding the Fourth Proportional to 3,800.71, 5,244.71 and 2,228.50

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Solution

The fourth proportional to 3,800.71, 5,244.71 and 2,228.50 is: 3,075.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.71 : 5,244.71 = 2,228.50 : x
  2. Step 2: Convert to fraction form
    3,800.71/5,244.71 = 2,228.50/x
  3. Step 3: Cross multiply
    3,800.71x = 5,244.71 × 2,228.50
  4. Step 4: Simplify right side
    3,800.71x = 11,687,836.24
  5. Step 5: Solve for x
    x = 11,687,836.24/3,800.71
  6. Step 6: Final answer
    x = 3,075.17

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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.