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Finding the Fourth Proportional to 8,971.74, 12,383.78 and 6,138.04

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Solution

The fourth proportional to 8,971.74, 12,383.78 and 6,138.04 is: 8,472.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.74 : 12,383.78 = 6,138.04 : x
  2. Step 2: Convert to fraction form
    8,971.74/12,383.78 = 6,138.04/x
  3. Step 3: Cross multiply
    8,971.74x = 12,383.78 × 6,138.04
  4. Step 4: Simplify right side
    8,971.74x = 76,012,121.38
  5. Step 5: Solve for x
    x = 76,012,121.38/8,971.74
  6. Step 6: Final answer
    x = 8,472.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.