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Finding the Fourth Proportional to 6,144, 8,478.78 and 3,349.56

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Solution

The fourth proportional to 6,144, 8,478.78 and 3,349.56 is: 4,622.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144 : 8,478.78 = 3,349.56 : x
  2. Step 2: Convert to fraction form
    6,144/8,478.78 = 3,349.56/x
  3. Step 3: Cross multiply
    6,144x = 8,478.78 × 3,349.56
  4. Step 4: Simplify right side
    6,144x = 28,400,182.34
  5. Step 5: Solve for x
    x = 28,400,182.34/6,144
  6. Step 6: Final answer
    x = 4,622.43

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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.