Home / 3,779.84-5,664.80-1,829.36

Finding the Fourth Proportional to 3,779.84, 5,664.80 and 1,829.36

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Solution

The fourth proportional to 3,779.84, 5,664.80 and 1,829.36 is: 2,741.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.84 : 5,664.80 = 1,829.36 : x
  2. Step 2: Convert to fraction form
    3,779.84/5,664.80 = 1,829.36/x
  3. Step 3: Cross multiply
    3,779.84x = 5,664.80 × 1,829.36
  4. Step 4: Simplify right side
    3,779.84x = 10,362,958.53
  5. Step 5: Solve for x
    x = 10,362,958.53/3,779.84
  6. Step 6: Final answer
    x = 2,741.64

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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.