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Finding the Fourth Proportional to 8,638.53, 12,955.86 and 3,092.25

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Solution

The fourth proportional to 8,638.53, 12,955.86 and 3,092.25 is: 4,637.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,638.53 : 12,955.86 = 3,092.25 : x
  2. Step 2: Convert to fraction form
    8,638.53/12,955.86 = 3,092.25/x
  3. Step 3: Cross multiply
    8,638.53x = 12,955.86 × 3,092.25
  4. Step 4: Simplify right side
    8,638.53x = 40,062,758.09
  5. Step 5: Solve for x
    x = 40,062,758.09/8,638.53
  6. Step 6: Final answer
    x = 4,637.68

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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.