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Finding the Fourth Proportional to 7,840.32, 11,754.88 and 3,678

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Solution

The fourth proportional to 7,840.32, 11,754.88 and 3,678 is: 5,514.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.32 : 11,754.88 = 3,678 : x
  2. Step 2: Convert to fraction form
    7,840.32/11,754.88 = 3,678/x
  3. Step 3: Cross multiply
    7,840.32x = 11,754.88 × 3,678
  4. Step 4: Simplify right side
    7,840.32x = 43,234,448.64
  5. Step 5: Solve for x
    x = 43,234,448.64/7,840.32
  6. Step 6: Final answer
    x = 5,514.37

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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.