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Finding the Fourth Proportional to 5,853.60, 8,078.10 and 3,201.20

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Solution

The fourth proportional to 5,853.60, 8,078.10 and 3,201.20 is: 4,417.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,853.60 : 8,078.10 = 3,201.20 : x
  2. Step 2: Convert to fraction form
    5,853.60/8,078.10 = 3,201.20/x
  3. Step 3: Cross multiply
    5,853.60x = 8,078.10 × 3,201.20
  4. Step 4: Simplify right side
    5,853.60x = 25,859,573.33
  5. Step 5: Solve for x
    x = 25,859,573.33/5,853.60
  6. Step 6: Final answer
    x = 4,417.72

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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.