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Finding the Fourth Proportional to 4,828.39, 6,663.39 and 3,778.63

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Solution

The fourth proportional to 4,828.39, 6,663.39 and 3,778.63 is: 5,214.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,828.39 : 6,663.39 = 3,778.63 : x
  2. Step 2: Convert to fraction form
    4,828.39/6,663.39 = 3,778.63/x
  3. Step 3: Cross multiply
    4,828.39x = 6,663.39 × 3,778.63
  4. Step 4: Simplify right side
    4,828.39x = 25,178,485.36
  5. Step 5: Solve for x
    x = 25,178,485.36/4,828.39
  6. Step 6: Final answer
    x = 5,214.68

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