Home / 3,298-4,947.04-1,448.14

Finding the Fourth Proportional to 3,298, 4,947.04 and 1,448.14

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Solution

The fourth proportional to 3,298, 4,947.04 and 1,448.14 is: 2,172.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298 : 4,947.04 = 1,448.14 : x
  2. Step 2: Convert to fraction form
    3,298/4,947.04 = 1,448.14/x
  3. Step 3: Cross multiply
    3,298x = 4,947.04 × 1,448.14
  4. Step 4: Simplify right side
    3,298x = 7,164,006.51
  5. Step 5: Solve for x
    x = 7,164,006.51/3,298
  6. Step 6: Final answer
    x = 2,172.23

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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.