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Finding the Fourth Proportional to 3,433.36, 5,149.96 and 836.28

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Solution

The fourth proportional to 3,433.36, 5,149.96 and 836.28 is: 1,254.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433.36 : 5,149.96 = 836.28 : x
  2. Step 2: Convert to fraction form
    3,433.36/5,149.96 = 836.28/x
  3. Step 3: Cross multiply
    3,433.36x = 5,149.96 × 836.28
  4. Step 4: Simplify right side
    3,433.36x = 4,306,808.55
  5. Step 5: Solve for x
    x = 4,306,808.55/3,433.36
  6. Step 6: Final answer
    x = 1,254.40

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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.