Home / 6,072.32-9,109.76-1,968

Finding the Fourth Proportional to 6,072.32, 9,109.76 and 1,968

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Solution

The fourth proportional to 6,072.32, 9,109.76 and 1,968 is: 2,952.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,072.32 : 9,109.76 = 1,968 : x
  2. Step 2: Convert to fraction form
    6,072.32/9,109.76 = 1,968/x
  3. Step 3: Cross multiply
    6,072.32x = 9,109.76 × 1,968
  4. Step 4: Simplify right side
    6,072.32x = 17,928,007.68
  5. Step 5: Solve for x
    x = 17,928,007.68/6,072.32
  6. Step 6: Final answer
    x = 2,952.41

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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.