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Finding the Fourth Proportional to 8,646.93, 12,974.21 and 3,383.55

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Solution

The fourth proportional to 8,646.93, 12,974.21 and 3,383.55 is: 5,076.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.93 : 12,974.21 = 3,383.55 : x
  2. Step 2: Convert to fraction form
    8,646.93/12,974.21 = 3,383.55/x
  3. Step 3: Cross multiply
    8,646.93x = 12,974.21 × 3,383.55
  4. Step 4: Simplify right side
    8,646.93x = 43,898,871.33
  5. Step 5: Solve for x
    x = 43,898,871.33/8,646.93
  6. Step 6: Final answer
    x = 5,076.82

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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.