Home / 10,198.68-15,297.96-2,804.16

Finding the Fourth Proportional to 10,198.68, 15,297.96 and 2,804.16

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Solution

The fourth proportional to 10,198.68, 15,297.96 and 2,804.16 is: 4,206.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,198.68 : 15,297.96 = 2,804.16 : x
  2. Step 2: Convert to fraction form
    10,198.68/15,297.96 = 2,804.16/x
  3. Step 3: Cross multiply
    10,198.68x = 15,297.96 × 2,804.16
  4. Step 4: Simplify right side
    10,198.68x = 42,897,927.51
  5. Step 5: Solve for x
    x = 42,897,927.51/10,198.68
  6. Step 6: Final answer
    x = 4,206.22

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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.