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Finding the Fourth Proportional to 3,644.53, 5,029.70 and 2,072.72

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Solution

The fourth proportional to 3,644.53, 5,029.70 and 2,072.72 is: 2,860.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.53 : 5,029.70 = 2,072.72 : x
  2. Step 2: Convert to fraction form
    3,644.53/5,029.70 = 2,072.72/x
  3. Step 3: Cross multiply
    3,644.53x = 5,029.70 × 2,072.72
  4. Step 4: Simplify right side
    3,644.53x = 10,425,161.99
  5. Step 5: Solve for x
    x = 10,425,161.99/3,644.53
  6. Step 6: Final answer
    x = 2,860.50

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1.5x scale

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.