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Finding the Fourth Proportional to 2,106, 2,907.48 and 1,361.04

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Solution

The fourth proportional to 2,106, 2,907.48 and 1,361.04 is: 1,879.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106 : 2,907.48 = 1,361.04 : x
  2. Step 2: Convert to fraction form
    2,106/2,907.48 = 1,361.04/x
  3. Step 3: Cross multiply
    2,106x = 2,907.48 × 1,361.04
  4. Step 4: Simplify right side
    2,106x = 3,957,196.58
  5. Step 5: Solve for x
    x = 3,957,196.58/2,106
  6. Step 6: Final answer
    x = 1,879.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.