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Finding the Fourth Proportional to 5,690.90, 8,525.88 and 3,930.96

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Solution

The fourth proportional to 5,690.90, 8,525.88 and 3,930.96 is: 5,889.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.90 : 8,525.88 = 3,930.96 : x
  2. Step 2: Convert to fraction form
    5,690.90/8,525.88 = 3,930.96/x
  3. Step 3: Cross multiply
    5,690.90x = 8,525.88 × 3,930.96
  4. Step 4: Simplify right side
    5,690.90x = 33,514,918.29
  5. Step 5: Solve for x
    x = 33,514,918.29/5,690.90
  6. Step 6: Final answer
    x = 5,889.21

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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.