Home / 3,828.36-5,742.56-1,054.92

Finding the Fourth Proportional to 3,828.36, 5,742.56 and 1,054.92

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Solution

The fourth proportional to 3,828.36, 5,742.56 and 1,054.92 is: 1,582.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.36 : 5,742.56 = 1,054.92 : x
  2. Step 2: Convert to fraction form
    3,828.36/5,742.56 = 1,054.92/x
  3. Step 3: Cross multiply
    3,828.36x = 5,742.56 × 1,054.92
  4. Step 4: Simplify right side
    3,828.36x = 6,057,941.40
  5. Step 5: Solve for x
    x = 6,057,941.40/3,828.36
  6. Step 6: Final answer
    x = 1,582.39

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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.