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Finding the Fourth Proportional to 5,664.78, 8,487.90 and 3,466.80

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Solution

The fourth proportional to 5,664.78, 8,487.90 and 3,466.80 is: 5,194.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.78 : 8,487.90 = 3,466.80 : x
  2. Step 2: Convert to fraction form
    5,664.78/8,487.90 = 3,466.80/x
  3. Step 3: Cross multiply
    5,664.78x = 8,487.90 × 3,466.80
  4. Step 4: Simplify right side
    5,664.78x = 29,425,851.72
  5. Step 5: Solve for x
    x = 29,425,851.72/5,664.78
  6. Step 6: Final answer
    x = 5,194.53

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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.