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Finding the Fourth Proportional to 3,435.23, 5,152.85 and 838.15

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Solution

The fourth proportional to 3,435.23, 5,152.85 and 838.15 is: 1,257.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.23 : 5,152.85 = 838.15 : x
  2. Step 2: Convert to fraction form
    3,435.23/5,152.85 = 838.15/x
  3. Step 3: Cross multiply
    3,435.23x = 5,152.85 × 838.15
  4. Step 4: Simplify right side
    3,435.23x = 4,318,861.23
  5. Step 5: Solve for x
    x = 4,318,861.23/3,435.23
  6. Step 6: Final answer
    x = 1,257.23

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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.