Home / 11,022-15,211.44-6,831.60

Finding the Fourth Proportional to 11,022, 15,211.44 and 6,831.60

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Solution

The fourth proportional to 11,022, 15,211.44 and 6,831.60 is: 9,428.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,022 : 15,211.44 = 6,831.60 : x
  2. Step 2: Convert to fraction form
    11,022/15,211.44 = 6,831.60/x
  3. Step 3: Cross multiply
    11,022x = 15,211.44 × 6,831.60
  4. Step 4: Simplify right side
    11,022x = 103,918,473.50
  5. Step 5: Solve for x
    x = 103,918,473.50/11,022
  6. Step 6: Final answer
    x = 9,428.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.