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Finding the Fourth Proportional to 8,431.04, 12,654.33 and 4,274

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Solution

The fourth proportional to 8,431.04, 12,654.33 and 4,274 is: 6,414.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.04 : 12,654.33 = 4,274 : x
  2. Step 2: Convert to fraction form
    8,431.04/12,654.33 = 4,274/x
  3. Step 3: Cross multiply
    8,431.04x = 12,654.33 × 4,274
  4. Step 4: Simplify right side
    8,431.04x = 54,084,606.42
  5. Step 5: Solve for x
    x = 54,084,606.42/8,431.04
  6. Step 6: Final answer
    x = 6,414.94

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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.