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Finding the Fourth Proportional to 3,083.60, 4,626.18 and 892.35

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Solution

The fourth proportional to 3,083.60, 4,626.18 and 892.35 is: 1,338.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.60 : 4,626.18 = 892.35 : x
  2. Step 2: Convert to fraction form
    3,083.60/4,626.18 = 892.35/x
  3. Step 3: Cross multiply
    3,083.60x = 4,626.18 × 892.35
  4. Step 4: Simplify right side
    3,083.60x = 4,128,171.72
  5. Step 5: Solve for x
    x = 4,128,171.72/3,083.60
  6. Step 6: Final answer
    x = 1,338.75

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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.