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Finding the Fourth Proportional to 8,890, 13,337.16 and 2,734

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Solution

The fourth proportional to 8,890, 13,337.16 and 2,734 is: 4,101.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,890 : 13,337.16 = 2,734 : x
  2. Step 2: Convert to fraction form
    8,890/13,337.16 = 2,734/x
  3. Step 3: Cross multiply
    8,890x = 13,337.16 × 2,734
  4. Step 4: Simplify right side
    8,890x = 36,463,795.44
  5. Step 5: Solve for x
    x = 36,463,795.44/8,890
  6. Step 6: Final answer
    x = 4,101.66

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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.