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Finding the Fourth Proportional to 8,133.22, 12,202.82 and 5,811.50

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Solution

The fourth proportional to 8,133.22, 12,202.82 and 5,811.50 is: 8,719.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,133.22 : 12,202.82 = 5,811.50 : x
  2. Step 2: Convert to fraction form
    8,133.22/12,202.82 = 5,811.50/x
  3. Step 3: Cross multiply
    8,133.22x = 12,202.82 × 5,811.50
  4. Step 4: Simplify right side
    8,133.22x = 70,916,598.36
  5. Step 5: Solve for x
    x = 70,916,598.36/8,133.22
  6. Step 6: Final answer
    x = 8,719.38

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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.