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Finding the Fourth Proportional to 3,427.80, 4,667.64 and 3,427.80

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Solution

The fourth proportional to 3,427.80, 4,667.64 and 3,427.80 is: 4,667.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.80 : 4,667.64 = 3,427.80 : x
  2. Step 2: Convert to fraction form
    3,427.80/4,667.64 = 3,427.80/x
  3. Step 3: Cross multiply
    3,427.80x = 4,667.64 × 3,427.80
  4. Step 4: Simplify right side
    3,427.80x = 15,999,736.39
  5. Step 5: Solve for x
    x = 15,999,736.39/3,427.80
  6. Step 6: Final answer
    x = 4,667.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.