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Finding the Fourth Proportional to 8,156.33, 12,215.95 and 7,971.82

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Solution

The fourth proportional to 8,156.33, 12,215.95 and 7,971.82 is: 11,939.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,156.33 : 12,215.95 = 7,971.82 : x
  2. Step 2: Convert to fraction form
    8,156.33/12,215.95 = 7,971.82/x
  3. Step 3: Cross multiply
    8,156.33x = 12,215.95 × 7,971.82
  4. Step 4: Simplify right side
    8,156.33x = 97,383,304.06
  5. Step 5: Solve for x
    x = 97,383,304.06/8,156.33
  6. Step 6: Final answer
    x = 11,939.60

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1.5x scale

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.