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Finding the Fourth Proportional to 3,054.08, 4,578 and 1,203.92

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Solution

The fourth proportional to 3,054.08, 4,578 and 1,203.92 is: 1,804.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.08 : 4,578 = 1,203.92 : x
  2. Step 2: Convert to fraction form
    3,054.08/4,578 = 1,203.92/x
  3. Step 3: Cross multiply
    3,054.08x = 4,578 × 1,203.92
  4. Step 4: Simplify right side
    3,054.08x = 5,511,545.76
  5. Step 5: Solve for x
    x = 5,511,545.76/3,054.08
  6. Step 6: Final answer
    x = 1,804.65

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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.