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Finding the Fourth Proportional to 5,770, 8,658.84 and 2,122

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Solution

The fourth proportional to 5,770, 8,658.84 and 2,122 is: 3,184.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770 : 8,658.84 = 2,122 : x
  2. Step 2: Convert to fraction form
    5,770/8,658.84 = 2,122/x
  3. Step 3: Cross multiply
    5,770x = 8,658.84 × 2,122
  4. Step 4: Simplify right side
    5,770x = 18,374,058.48
  5. Step 5: Solve for x
    x = 18,374,058.48/5,770
  6. Step 6: Final answer
    x = 3,184.41

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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.