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Finding the Fourth Proportional to 8,098.69, 12,120.49 and 4,977.05

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Solution

The fourth proportional to 8,098.69, 12,120.49 and 4,977.05 is: 7,448.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.69 : 12,120.49 = 4,977.05 : x
  2. Step 2: Convert to fraction form
    8,098.69/12,120.49 = 4,977.05/x
  3. Step 3: Cross multiply
    8,098.69x = 12,120.49 × 4,977.05
  4. Step 4: Simplify right side
    8,098.69x = 60,324,259.87
  5. Step 5: Solve for x
    x = 60,324,259.87/8,098.69
  6. Step 6: Final answer
    x = 7,448.64

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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.