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Finding the Fourth Proportional to 6,224, 9,337.60 and 2,120

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Solution

The fourth proportional to 6,224, 9,337.60 and 2,120 is: 3,180.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,224 : 9,337.60 = 2,120 : x
  2. Step 2: Convert to fraction form
    6,224/9,337.60 = 2,120/x
  3. Step 3: Cross multiply
    6,224x = 9,337.60 × 2,120
  4. Step 4: Simplify right side
    6,224x = 19,795,712
  5. Step 5: Solve for x
    x = 19,795,712/6,224
  6. Step 6: Final answer
    x = 3,180.54

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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.