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Finding the Fourth Proportional to 3,747.79, 5,625.14 and 1,900.20

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Solution

The fourth proportional to 3,747.79, 5,625.14 and 1,900.20 is: 2,852.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.79 : 5,625.14 = 1,900.20 : x
  2. Step 2: Convert to fraction form
    3,747.79/5,625.14 = 1,900.20/x
  3. Step 3: Cross multiply
    3,747.79x = 5,625.14 × 1,900.20
  4. Step 4: Simplify right side
    3,747.79x = 10,688,891.03
  5. Step 5: Solve for x
    x = 10,688,891.03/3,747.79
  6. Step 6: Final answer
    x = 2,852.05

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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.