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Finding the Fourth Proportional to 8,590.92, 12,886.34 and 2,747.96

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Solution

The fourth proportional to 8,590.92, 12,886.34 and 2,747.96 is: 4,121.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,590.92 : 12,886.34 = 2,747.96 : x
  2. Step 2: Convert to fraction form
    8,590.92/12,886.34 = 2,747.96/x
  3. Step 3: Cross multiply
    8,590.92x = 12,886.34 × 2,747.96
  4. Step 4: Simplify right side
    8,590.92x = 35,411,146.87
  5. Step 5: Solve for x
    x = 35,411,146.87/8,590.92
  6. Step 6: Final answer
    x = 4,121.93

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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.