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Finding the Fourth Proportional to 8,072.50, 12,101.82 and 2,804.20

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Solution

The fourth proportional to 8,072.50, 12,101.82 and 2,804.20 is: 4,203.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,072.50 : 12,101.82 = 2,804.20 : x
  2. Step 2: Convert to fraction form
    8,072.50/12,101.82 = 2,804.20/x
  3. Step 3: Cross multiply
    8,072.50x = 12,101.82 × 2,804.20
  4. Step 4: Simplify right side
    8,072.50x = 33,935,923.64
  5. Step 5: Solve for x
    x = 33,935,923.64/8,072.50
  6. Step 6: Final answer
    x = 4,203.89

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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.