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Finding the Fourth Proportional to 2,774, 4,161.52 and 1,406

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Solution

The fourth proportional to 2,774, 4,161.52 and 1,406 is: 2,109.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774 : 4,161.52 = 1,406 : x
  2. Step 2: Convert to fraction form
    2,774/4,161.52 = 1,406/x
  3. Step 3: Cross multiply
    2,774x = 4,161.52 × 1,406
  4. Step 4: Simplify right side
    2,774x = 5,851,097.12
  5. Step 5: Solve for x
    x = 5,851,097.12/2,774
  6. Step 6: Final answer
    x = 2,109.26

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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.