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Finding the Fourth Proportional to 8,460.54, 12,696.06 and 4,078.44

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Solution

The fourth proportional to 8,460.54, 12,696.06 and 4,078.44 is: 6,120.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,460.54 : 12,696.06 = 4,078.44 : x
  2. Step 2: Convert to fraction form
    8,460.54/12,696.06 = 4,078.44/x
  3. Step 3: Cross multiply
    8,460.54x = 12,696.06 × 4,078.44
  4. Step 4: Simplify right side
    8,460.54x = 51,780,118.95
  5. Step 5: Solve for x
    x = 51,780,118.95/8,460.54
  6. Step 6: Final answer
    x = 6,120.19

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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.