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Finding the Fourth Proportional to 6,388.86, 9,583.74 and 2,228.34

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Solution

The fourth proportional to 6,388.86, 9,583.74 and 2,228.34 is: 3,342.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,388.86 : 9,583.74 = 2,228.34 : x
  2. Step 2: Convert to fraction form
    6,388.86/9,583.74 = 2,228.34/x
  3. Step 3: Cross multiply
    6,388.86x = 9,583.74 × 2,228.34
  4. Step 4: Simplify right side
    6,388.86x = 21,355,831.19
  5. Step 5: Solve for x
    x = 21,355,831.19/6,388.86
  6. Step 6: Final answer
    x = 3,342.67

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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.