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Finding the Fourth Proportional to 12,712.80, 19,072.80 and 3,948.60

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Solution

The fourth proportional to 12,712.80, 19,072.80 and 3,948.60 is: 5,924.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,712.80 : 19,072.80 = 3,948.60 : x
  2. Step 2: Convert to fraction form
    12,712.80/19,072.80 = 3,948.60/x
  3. Step 3: Cross multiply
    12,712.80x = 19,072.80 × 3,948.60
  4. Step 4: Simplify right side
    12,712.80x = 75,310,858.08
  5. Step 5: Solve for x
    x = 75,310,858.08/12,712.80
  6. Step 6: Final answer
    x = 5,924.02

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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.