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Finding the Fourth Proportional to 8,047.50, 12,066.72 and 3,362.46

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Solution

The fourth proportional to 8,047.50, 12,066.72 and 3,362.46 is: 5,041.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,047.50 : 12,066.72 = 3,362.46 : x
  2. Step 2: Convert to fraction form
    8,047.50/12,066.72 = 3,362.46/x
  3. Step 3: Cross multiply
    8,047.50x = 12,066.72 × 3,362.46
  4. Step 4: Simplify right side
    8,047.50x = 40,573,863.33
  5. Step 5: Solve for x
    x = 40,573,863.33/8,047.50
  6. Step 6: Final answer
    x = 5,041.80

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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.