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Finding the Fourth Proportional to 3,054.51, 4,582.98 and 1,822.50

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Solution

The fourth proportional to 3,054.51, 4,582.98 and 1,822.50 is: 2,734.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.51 : 4,582.98 = 1,822.50 : x
  2. Step 2: Convert to fraction form
    3,054.51/4,582.98 = 1,822.50/x
  3. Step 3: Cross multiply
    3,054.51x = 4,582.98 × 1,822.50
  4. Step 4: Simplify right side
    3,054.51x = 8,352,481.05
  5. Step 5: Solve for x
    x = 8,352,481.05/3,054.51
  6. Step 6: Final answer
    x = 2,734.47

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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.