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Finding the Fourth Proportional to 8,107.06, 11,187.75 and 4,381.06

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Solution

The fourth proportional to 8,107.06, 11,187.75 and 4,381.06 is: 6,045.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.06 : 11,187.75 = 4,381.06 : x
  2. Step 2: Convert to fraction form
    8,107.06/11,187.75 = 4,381.06/x
  3. Step 3: Cross multiply
    8,107.06x = 11,187.75 × 4,381.06
  4. Step 4: Simplify right side
    8,107.06x = 49,014,204.02
  5. Step 5: Solve for x
    x = 49,014,204.02/8,107.06
  6. Step 6: Final answer
    x = 6,045.87

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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.