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Finding the Fourth Proportional to 11,640.98, 16,071.81 and 8,102.90

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Solution

The fourth proportional to 11,640.98, 16,071.81 and 8,102.90 is: 11,187.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640.98 : 16,071.81 = 8,102.90 : x
  2. Step 2: Convert to fraction form
    11,640.98/16,071.81 = 8,102.90/x
  3. Step 3: Cross multiply
    11,640.98x = 16,071.81 × 8,102.90
  4. Step 4: Simplify right side
    11,640.98x = 130,228,269.25
  5. Step 5: Solve for x
    x = 130,228,269.25/11,640.98
  6. Step 6: Final answer
    x = 11,187.05

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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.