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Finding the Fourth Proportional to 7,978.03, 11,967.17 and 2,783.91

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Solution

The fourth proportional to 7,978.03, 11,967.17 and 2,783.91 is: 4,175.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.03 : 11,967.17 = 2,783.91 : x
  2. Step 2: Convert to fraction form
    7,978.03/11,967.17 = 2,783.91/x
  3. Step 3: Cross multiply
    7,978.03x = 11,967.17 × 2,783.91
  4. Step 4: Simplify right side
    7,978.03x = 33,315,524.23
  5. Step 5: Solve for x
    x = 33,315,524.23/7,978.03
  6. Step 6: Final answer
    x = 4,175.91

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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.