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Finding the Fourth Proportional to 2,765, 4,147.68 and 1,226

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Solution

The fourth proportional to 2,765, 4,147.68 and 1,226 is: 1,839.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765 : 4,147.68 = 1,226 : x
  2. Step 2: Convert to fraction form
    2,765/4,147.68 = 1,226/x
  3. Step 3: Cross multiply
    2,765x = 4,147.68 × 1,226
  4. Step 4: Simplify right side
    2,765x = 5,085,055.68
  5. Step 5: Solve for x
    x = 5,085,055.68/2,765
  6. Step 6: Final answer
    x = 1,839.08

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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.