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Finding the Fourth Proportional to 20,580.74, 30,878.50 and 8,093.85

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Solution

The fourth proportional to 20,580.74, 30,878.50 and 8,093.85 is: 12,143.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,580.74 : 30,878.50 = 8,093.85 : x
  2. Step 2: Convert to fraction form
    20,580.74/30,878.50 = 8,093.85/x
  3. Step 3: Cross multiply
    20,580.74x = 30,878.50 × 8,093.85
  4. Step 4: Simplify right side
    20,580.74x = 249,925,947.23
  5. Step 5: Solve for x
    x = 249,925,947.23/20,580.74
  6. Step 6: Final answer
    x = 12,143.68

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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.