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Finding the Fourth Proportional to 8,091.40, 12,137.10 and 3,164.50

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Solution

The fourth proportional to 8,091.40, 12,137.10 and 3,164.50 is: 4,746.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,091.40 : 12,137.10 = 3,164.50 : x
  2. Step 2: Convert to fraction form
    8,091.40/12,137.10 = 3,164.50/x
  3. Step 3: Cross multiply
    8,091.40x = 12,137.10 × 3,164.50
  4. Step 4: Simplify right side
    8,091.40x = 38,407,852.95
  5. Step 5: Solve for x
    x = 38,407,852.95/8,091.40
  6. Step 6: Final answer
    x = 4,746.75

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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.