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Finding the Fourth Proportional to 7,149.78, 10,728.34 and 3,405.80

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Solution

The fourth proportional to 7,149.78, 10,728.34 and 3,405.80 is: 5,110.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149.78 : 10,728.34 = 3,405.80 : x
  2. Step 2: Convert to fraction form
    7,149.78/10,728.34 = 3,405.80/x
  3. Step 3: Cross multiply
    7,149.78x = 10,728.34 × 3,405.80
  4. Step 4: Simplify right side
    7,149.78x = 36,538,580.37
  5. Step 5: Solve for x
    x = 36,538,580.37/7,149.78
  6. Step 6: Final answer
    x = 5,110.45

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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.