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Finding the Fourth Proportional to 8,590.56, 12,893.04 and 3,400.08

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Solution

The fourth proportional to 8,590.56, 12,893.04 and 3,400.08 is: 5,102.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,590.56 : 12,893.04 = 3,400.08 : x
  2. Step 2: Convert to fraction form
    8,590.56/12,893.04 = 3,400.08/x
  3. Step 3: Cross multiply
    8,590.56x = 12,893.04 × 3,400.08
  4. Step 4: Simplify right side
    8,590.56x = 43,837,367.44
  5. Step 5: Solve for x
    x = 43,837,367.44/8,590.56
  6. Step 6: Final answer
    x = 5,102.97

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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.