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Finding the Fourth Proportional to 7,984.86, 11,978.72 and 3,302.32

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Solution

The fourth proportional to 7,984.86, 11,978.72 and 3,302.32 is: 4,954.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,984.86 : 11,978.72 = 3,302.32 : x
  2. Step 2: Convert to fraction form
    7,984.86/11,978.72 = 3,302.32/x
  3. Step 3: Cross multiply
    7,984.86x = 11,978.72 × 3,302.32
  4. Step 4: Simplify right side
    7,984.86x = 39,557,566.63
  5. Step 5: Solve for x
    x = 39,557,566.63/7,984.86
  6. Step 6: Final answer
    x = 4,954.07

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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.