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Finding the Fourth Proportional to 6,978.36, 10,467.54 and 1,784.28

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Solution

The fourth proportional to 6,978.36, 10,467.54 and 1,784.28 is: 2,676.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.36 : 10,467.54 = 1,784.28 : x
  2. Step 2: Convert to fraction form
    6,978.36/10,467.54 = 1,784.28/x
  3. Step 3: Cross multiply
    6,978.36x = 10,467.54 × 1,784.28
  4. Step 4: Simplify right side
    6,978.36x = 18,677,022.27
  5. Step 5: Solve for x
    x = 18,677,022.27/6,978.36
  6. Step 6: Final answer
    x = 2,676.42

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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.