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Finding the Fourth Proportional to 3,467.78, 5,201.16 and 1,276.00

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Solution

The fourth proportional to 3,467.78, 5,201.16 and 1,276.00 is: 1,913.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.78 : 5,201.16 = 1,276.00 : x
  2. Step 2: Convert to fraction form
    3,467.78/5,201.16 = 1,276.00/x
  3. Step 3: Cross multiply
    3,467.78x = 5,201.16 × 1,276.00
  4. Step 4: Simplify right side
    3,467.78x = 6,636,662.37
  5. Step 5: Solve for x
    x = 6,636,662.37/3,467.78
  6. Step 6: Final answer
    x = 1,913.81

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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.