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Finding the Fourth Proportional to 12,616.53, 18,930.26 and 6,766.31

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Solution

The fourth proportional to 12,616.53, 18,930.26 and 6,766.31 is: 10,152.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,616.53 : 18,930.26 = 6,766.31 : x
  2. Step 2: Convert to fraction form
    12,616.53/18,930.26 = 6,766.31/x
  3. Step 3: Cross multiply
    12,616.53x = 18,930.26 × 6,766.31
  4. Step 4: Simplify right side
    12,616.53x = 128,087,879.06
  5. Step 5: Solve for x
    x = 128,087,879.06/12,616.53
  6. Step 6: Final answer
    x = 10,152.39

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1.5x scale

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.