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Finding the Fourth Proportional to 7,984.38, 11,978.01 and 3,301.84

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Solution

The fourth proportional to 7,984.38, 11,978.01 and 3,301.84 is: 4,953.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,984.38 : 11,978.01 = 3,301.84 : x
  2. Step 2: Convert to fraction form
    7,984.38/11,978.01 = 3,301.84/x
  3. Step 3: Cross multiply
    7,984.38x = 11,978.01 × 3,301.84
  4. Step 4: Simplify right side
    7,984.38x = 39,549,503.78
  5. Step 5: Solve for x
    x = 39,549,503.78/7,984.38
  6. Step 6: Final answer
    x = 4,953.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.