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Finding the Fourth Proportional to 7,984.04, 11,978.22 and 4,523.72

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Solution

The fourth proportional to 7,984.04, 11,978.22 and 4,523.72 is: 6,786.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,984.04 : 11,978.22 = 4,523.72 : x
  2. Step 2: Convert to fraction form
    7,984.04/11,978.22 = 4,523.72/x
  3. Step 3: Cross multiply
    7,984.04x = 11,978.22 × 4,523.72
  4. Step 4: Simplify right side
    7,984.04x = 54,186,113.38
  5. Step 5: Solve for x
    x = 54,186,113.38/7,984.04
  6. Step 6: Final answer
    x = 6,786.80

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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.