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Finding the Fourth Proportional to 6,978, 10,467 and 1,783.89

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Solution

The fourth proportional to 6,978, 10,467 and 1,783.89 is: 2,675.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978 : 10,467 = 1,783.89 : x
  2. Step 2: Convert to fraction form
    6,978/10,467 = 1,783.89/x
  3. Step 3: Cross multiply
    6,978x = 10,467 × 1,783.89
  4. Step 4: Simplify right side
    6,978x = 18,671,976.63
  5. Step 5: Solve for x
    x = 18,671,976.63/6,978
  6. Step 6: Final answer
    x = 2,675.84

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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.