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Finding the Fourth Proportional to 3,801.38, 5,702.76 and 1,203.68

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Solution

The fourth proportional to 3,801.38, 5,702.76 and 1,203.68 is: 1,805.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.38 : 5,702.76 = 1,203.68 : x
  2. Step 2: Convert to fraction form
    3,801.38/5,702.76 = 1,203.68/x
  3. Step 3: Cross multiply
    3,801.38x = 5,702.76 × 1,203.68
  4. Step 4: Simplify right side
    3,801.38x = 6,864,298.16
  5. Step 5: Solve for x
    x = 6,864,298.16/3,801.38
  6. Step 6: Final answer
    x = 1,805.74

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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.