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Finding the Fourth Proportional to 3,200.78, 4,790.32 and 1,968.96

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Solution

The fourth proportional to 3,200.78, 4,790.32 and 1,968.96 is: 2,946.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.78 : 4,790.32 = 1,968.96 : x
  2. Step 2: Convert to fraction form
    3,200.78/4,790.32 = 1,968.96/x
  3. Step 3: Cross multiply
    3,200.78x = 4,790.32 × 1,968.96
  4. Step 4: Simplify right side
    3,200.78x = 9,431,948.47
  5. Step 5: Solve for x
    x = 9,431,948.47/3,200.78
  6. Step 6: Final answer
    x = 2,946.77

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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.