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Finding the Fourth Proportional to 8,934, 13,407.15 and 3,090.62

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Solution

The fourth proportional to 8,934, 13,407.15 and 3,090.62 is: 4,638.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,934 : 13,407.15 = 3,090.62 : x
  2. Step 2: Convert to fraction form
    8,934/13,407.15 = 3,090.62/x
  3. Step 3: Cross multiply
    8,934x = 13,407.15 × 3,090.62
  4. Step 4: Simplify right side
    8,934x = 41,436,338.90
  5. Step 5: Solve for x
    x = 41,436,338.90/8,934
  6. Step 6: Final answer
    x = 4,638.05

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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.