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Finding the Fourth Proportional to 2,774, 4,161.54 and 1,235

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Solution

The fourth proportional to 2,774, 4,161.54 and 1,235 is: 1,852.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774 : 4,161.54 = 1,235 : x
  2. Step 2: Convert to fraction form
    2,774/4,161.54 = 1,235/x
  3. Step 3: Cross multiply
    2,774x = 4,161.54 × 1,235
  4. Step 4: Simplify right side
    2,774x = 5,139,501.90
  5. Step 5: Solve for x
    x = 5,139,501.90/2,774
  6. Step 6: Final answer
    x = 1,852.74

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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.