Home / 1,902.32-2,852.75-914.51

Finding the Fourth Proportional to 1,902.32, 2,852.75 and 914.51

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Solution

The fourth proportional to 1,902.32, 2,852.75 and 914.51 is: 1,371.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.32 : 2,852.75 = 914.51 : x
  2. Step 2: Convert to fraction form
    1,902.32/2,852.75 = 914.51/x
  3. Step 3: Cross multiply
    1,902.32x = 2,852.75 × 914.51
  4. Step 4: Simplify right side
    1,902.32x = 2,608,873.27
  5. Step 5: Solve for x
    x = 2,608,873.27/1,902.32
  6. Step 6: Final answer
    x = 1,371.42

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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.