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Finding the Fourth Proportional to 3,700.09, 5,106.09 and 2,021.50

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Solution

The fourth proportional to 3,700.09, 5,106.09 and 2,021.50 is: 2,789.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700.09 : 5,106.09 = 2,021.50 : x
  2. Step 2: Convert to fraction form
    3,700.09/5,106.09 = 2,021.50/x
  3. Step 3: Cross multiply
    3,700.09x = 5,106.09 × 2,021.50
  4. Step 4: Simplify right side
    3,700.09x = 10,321,960.94
  5. Step 5: Solve for x
    x = 10,321,960.94/3,700.09
  6. Step 6: Final answer
    x = 2,789.65

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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.