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Finding the Fourth Proportional to 3,801.82, 5,702.74 and 1,853.50

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Solution

The fourth proportional to 3,801.82, 5,702.74 and 1,853.50 is: 2,780.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.82 : 5,702.74 = 1,853.50 : x
  2. Step 2: Convert to fraction form
    3,801.82/5,702.74 = 1,853.50/x
  3. Step 3: Cross multiply
    3,801.82x = 5,702.74 × 1,853.50
  4. Step 4: Simplify right side
    3,801.82x = 10,570,028.59
  5. Step 5: Solve for x
    x = 10,570,028.59/3,801.82
  6. Step 6: Final answer
    x = 2,780.25

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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.