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Finding the Fourth Proportional to 3,054.16, 4,578 and 1,667.44

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Solution

The fourth proportional to 3,054.16, 4,578 and 1,667.44 is: 2,499.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.16 : 4,578 = 1,667.44 : x
  2. Step 2: Convert to fraction form
    3,054.16/4,578 = 1,667.44/x
  3. Step 3: Cross multiply
    3,054.16x = 4,578 × 1,667.44
  4. Step 4: Simplify right side
    3,054.16x = 7,633,540.32
  5. Step 5: Solve for x
    x = 7,633,540.32/3,054.16
  6. Step 6: Final answer
    x = 2,499.39

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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.