Home / 2,106-2,905.20-1,608.12

Finding the Fourth Proportional to 2,106, 2,905.20 and 1,608.12

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Solution

The fourth proportional to 2,106, 2,905.20 and 1,608.12 is: 2,218.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106 : 2,905.20 = 1,608.12 : x
  2. Step 2: Convert to fraction form
    2,106/2,905.20 = 1,608.12/x
  3. Step 3: Cross multiply
    2,106x = 2,905.20 × 1,608.12
  4. Step 4: Simplify right side
    2,106x = 4,671,910.22
  5. Step 5: Solve for x
    x = 4,671,910.22/2,106
  6. Step 6: Final answer
    x = 2,218.38

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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.