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Finding the Fourth Proportional to 3,798.64, 5,701.61 and 1,852.21

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Solution

The fourth proportional to 3,798.64, 5,701.61 and 1,852.21 is: 2,780.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.64 : 5,701.61 = 1,852.21 : x
  2. Step 2: Convert to fraction form
    3,798.64/5,701.61 = 1,852.21/x
  3. Step 3: Cross multiply
    3,798.64x = 5,701.61 × 1,852.21
  4. Step 4: Simplify right side
    3,798.64x = 10,560,579.06
  5. Step 5: Solve for x
    x = 10,560,579.06/3,798.64
  6. Step 6: Final answer
    x = 2,780.09

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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.