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Finding the Fourth Proportional to 2,477.75, 3,711.76 and 1,241.51

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Solution

The fourth proportional to 2,477.75, 3,711.76 and 1,241.51 is: 1,859.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.75 : 3,711.76 = 1,241.51 : x
  2. Step 2: Convert to fraction form
    2,477.75/3,711.76 = 1,241.51/x
  3. Step 3: Cross multiply
    2,477.75x = 3,711.76 × 1,241.51
  4. Step 4: Simplify right side
    2,477.75x = 4,608,187.16
  5. Step 5: Solve for x
    x = 4,608,187.16/2,477.75
  6. Step 6: Final answer
    x = 1,859.83

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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.