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Finding the Fourth Proportional to 3,405.75, 5,108.67 and 940.82

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Solution

The fourth proportional to 3,405.75, 5,108.67 and 940.82 is: 1,411.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.75 : 5,108.67 = 940.82 : x
  2. Step 2: Convert to fraction form
    3,405.75/5,108.67 = 940.82/x
  3. Step 3: Cross multiply
    3,405.75x = 5,108.67 × 940.82
  4. Step 4: Simplify right side
    3,405.75x = 4,806,313.37
  5. Step 5: Solve for x
    x = 4,806,313.37/3,405.75
  6. Step 6: Final answer
    x = 1,411.24

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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.