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Finding the Fourth Proportional to 3,886.21, 5,824.10 and 1,418.65

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Solution

The fourth proportional to 3,886.21, 5,824.10 and 1,418.65 is: 2,126.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.21 : 5,824.10 = 1,418.65 : x
  2. Step 2: Convert to fraction form
    3,886.21/5,824.10 = 1,418.65/x
  3. Step 3: Cross multiply
    3,886.21x = 5,824.10 × 1,418.65
  4. Step 4: Simplify right side
    3,886.21x = 8,262,348.45
  5. Step 5: Solve for x
    x = 8,262,348.45/3,886.21
  6. Step 6: Final answer
    x = 2,126.07

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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.