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Finding the Fourth Proportional to 5,322.90, 7,985.31 and 2,201.21

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Solution

The fourth proportional to 5,322.90, 7,985.31 and 2,201.21 is: 3,302.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.90 : 7,985.31 = 2,201.21 : x
  2. Step 2: Convert to fraction form
    5,322.90/7,985.31 = 2,201.21/x
  3. Step 3: Cross multiply
    5,322.90x = 7,985.31 × 2,201.21
  4. Step 4: Simplify right side
    5,322.90x = 17,577,372.44
  5. Step 5: Solve for x
    x = 17,577,372.44/5,322.90
  6. Step 6: Final answer
    x = 3,302.21

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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.