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Finding the Fourth Proportional to 5,919.40, 8,166.90 and 3,435.40

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Solution

The fourth proportional to 5,919.40, 8,166.90 and 3,435.40 is: 4,739.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,919.40 : 8,166.90 = 3,435.40 : x
  2. Step 2: Convert to fraction form
    5,919.40/8,166.90 = 3,435.40/x
  3. Step 3: Cross multiply
    5,919.40x = 8,166.90 × 3,435.40
  4. Step 4: Simplify right side
    5,919.40x = 28,056,568.26
  5. Step 5: Solve for x
    x = 28,056,568.26/5,919.40
  6. Step 6: Final answer
    x = 4,739.77

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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.