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Finding the Fourth Proportional to 12,584, 18,878.16 and 3,819.80

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Solution

The fourth proportional to 12,584, 18,878.16 and 3,819.80 is: 5,730.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584 : 18,878.16 = 3,819.80 : x
  2. Step 2: Convert to fraction form
    12,584/18,878.16 = 3,819.80/x
  3. Step 3: Cross multiply
    12,584x = 18,878.16 × 3,819.80
  4. Step 4: Simplify right side
    12,584x = 72,110,795.57
  5. Step 5: Solve for x
    x = 72,110,795.57/12,584
  6. Step 6: Final answer
    x = 5,730.36

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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.