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Finding the Fourth Proportional to 8,684.42, 13,044.06 and 5,181.26

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Solution

The fourth proportional to 8,684.42, 13,044.06 and 5,181.26 is: 7,782.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,684.42 : 13,044.06 = 5,181.26 : x
  2. Step 2: Convert to fraction form
    8,684.42/13,044.06 = 5,181.26/x
  3. Step 3: Cross multiply
    8,684.42x = 13,044.06 × 5,181.26
  4. Step 4: Simplify right side
    8,684.42x = 67,584,601.10
  5. Step 5: Solve for x
    x = 67,584,601.10/8,684.42
  6. Step 6: Final answer
    x = 7,782.29

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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.