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Finding the Fourth Proportional to 5,120.75, 7,682.34 and 1,658

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Solution

The fourth proportional to 5,120.75, 7,682.34 and 1,658 is: 2,487.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,120.75 : 7,682.34 = 1,658 : x
  2. Step 2: Convert to fraction form
    5,120.75/7,682.34 = 1,658/x
  3. Step 3: Cross multiply
    5,120.75x = 7,682.34 × 1,658
  4. Step 4: Simplify right side
    5,120.75x = 12,737,319.72
  5. Step 5: Solve for x
    x = 12,737,319.72/5,120.75
  6. Step 6: Final answer
    x = 2,487.39

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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.