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Finding the Fourth Proportional to 7,984.77, 11,980.86 and 4,091.91

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Solution

The fourth proportional to 7,984.77, 11,980.86 and 4,091.91 is: 6,139.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,984.77 : 11,980.86 = 4,091.91 : x
  2. Step 2: Convert to fraction form
    7,984.77/11,980.86 = 4,091.91/x
  3. Step 3: Cross multiply
    7,984.77x = 11,980.86 × 4,091.91
  4. Step 4: Simplify right side
    7,984.77x = 49,024,600.84
  5. Step 5: Solve for x
    x = 49,024,600.84/7,984.77
  6. Step 6: Final answer
    x = 6,139.76

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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.