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Finding the Fourth Proportional to 8,638.64, 12,958.16 and 3,092.37

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Solution

The fourth proportional to 8,638.64, 12,958.16 and 3,092.37 is: 4,638.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,638.64 : 12,958.16 = 3,092.37 : x
  2. Step 2: Convert to fraction form
    8,638.64/12,958.16 = 3,092.37/x
  3. Step 3: Cross multiply
    8,638.64x = 12,958.16 × 3,092.37
  4. Step 4: Simplify right side
    8,638.64x = 40,071,425.24
  5. Step 5: Solve for x
    x = 40,071,425.24/8,638.64
  6. Step 6: Final answer
    x = 4,638.63

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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.