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Finding the Fourth Proportional to 7,978.84, 11,961.42 and 3,045

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Solution

The fourth proportional to 7,978.84, 11,961.42 and 3,045 is: 4,564.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.84 : 11,961.42 = 3,045 : x
  2. Step 2: Convert to fraction form
    7,978.84/11,961.42 = 3,045/x
  3. Step 3: Cross multiply
    7,978.84x = 11,961.42 × 3,045
  4. Step 4: Simplify right side
    7,978.84x = 36,422,523.90
  5. Step 5: Solve for x
    x = 36,422,523.90/7,978.84
  6. Step 6: Final answer
    x = 4,564.89

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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.