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Finding the Fourth Proportional to 3,806.63, 5,254.27 and 2,213.65

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Solution

The fourth proportional to 3,806.63, 5,254.27 and 2,213.65 is: 3,055.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.63 : 5,254.27 = 2,213.65 : x
  2. Step 2: Convert to fraction form
    3,806.63/5,254.27 = 2,213.65/x
  3. Step 3: Cross multiply
    3,806.63x = 5,254.27 × 2,213.65
  4. Step 4: Simplify right side
    3,806.63x = 11,631,130.60
  5. Step 5: Solve for x
    x = 11,631,130.60/3,806.63
  6. Step 6: Final answer
    x = 3,055.49

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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.