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Finding the Fourth Proportional to 3,873, 5,346.96 and 2,550.55

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Solution

The fourth proportional to 3,873, 5,346.96 and 2,550.55 is: 3,521.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873 : 5,346.96 = 2,550.55 : x
  2. Step 2: Convert to fraction form
    3,873/5,346.96 = 2,550.55/x
  3. Step 3: Cross multiply
    3,873x = 5,346.96 × 2,550.55
  4. Step 4: Simplify right side
    3,873x = 13,637,688.83
  5. Step 5: Solve for x
    x = 13,637,688.83/3,873
  6. Step 6: Final answer
    x = 3,521.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.