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Finding the Fourth Proportional to 8,999.30, 12,431.12 and 8,160.94

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Solution

The fourth proportional to 8,999.30, 12,431.12 and 8,160.94 is: 11,273.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,999.30 : 12,431.12 = 8,160.94 : x
  2. Step 2: Convert to fraction form
    8,999.30/12,431.12 = 8,160.94/x
  3. Step 3: Cross multiply
    8,999.30x = 12,431.12 × 8,160.94
  4. Step 4: Simplify right side
    8,999.30x = 101,449,624.45
  5. Step 5: Solve for x
    x = 101,449,624.45/8,999.30
  6. Step 6: Final answer
    x = 11,273.06

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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.