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Finding the Fourth Proportional to 3,885.64, 5,828.56 and 1,421.21

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Solution

The fourth proportional to 3,885.64, 5,828.56 and 1,421.21 is: 2,131.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.64 : 5,828.56 = 1,421.21 : x
  2. Step 2: Convert to fraction form
    3,885.64/5,828.56 = 1,421.21/x
  3. Step 3: Cross multiply
    3,885.64x = 5,828.56 × 1,421.21
  4. Step 4: Simplify right side
    3,885.64x = 8,283,618.78
  5. Step 5: Solve for x
    x = 8,283,618.78/3,885.64
  6. Step 6: Final answer
    x = 2,131.86

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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.