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Finding the Fourth Proportional to 2,751.77, 4,127.63 and 1,289.89

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Solution

The fourth proportional to 2,751.77, 4,127.63 and 1,289.89 is: 1,934.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.77 : 4,127.63 = 1,289.89 : x
  2. Step 2: Convert to fraction form
    2,751.77/4,127.63 = 1,289.89/x
  3. Step 3: Cross multiply
    2,751.77x = 4,127.63 × 1,289.89
  4. Step 4: Simplify right side
    2,751.77x = 5,324,187.37
  5. Step 5: Solve for x
    x = 5,324,187.37/2,751.77
  6. Step 6: Final answer
    x = 1,934.82

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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.