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Finding the Fourth Proportional to 12,580.80, 18,878.49 and 5,183.88

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Solution

The fourth proportional to 12,580.80, 18,878.49 and 5,183.88 is: 7,778.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,580.80 : 18,878.49 = 5,183.88 : x
  2. Step 2: Convert to fraction form
    12,580.80/18,878.49 = 5,183.88/x
  3. Step 3: Cross multiply
    12,580.80x = 18,878.49 × 5,183.88
  4. Step 4: Simplify right side
    12,580.80x = 97,863,826.74
  5. Step 5: Solve for x
    x = 97,863,826.74/12,580.80
  6. Step 6: Final answer
    x = 7,778.82

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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.