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Finding the Fourth Proportional to 12,406.54, 18,616.60 and 4,914.65

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Solution

The fourth proportional to 12,406.54, 18,616.60 and 4,914.65 is: 7,374.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406.54 : 18,616.60 = 4,914.65 : x
  2. Step 2: Convert to fraction form
    12,406.54/18,616.60 = 4,914.65/x
  3. Step 3: Cross multiply
    12,406.54x = 18,616.60 × 4,914.65
  4. Step 4: Simplify right side
    12,406.54x = 91,494,073.19
  5. Step 5: Solve for x
    x = 91,494,073.19/12,406.54
  6. Step 6: Final answer
    x = 7,374.66

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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.