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Finding the Fourth Proportional to 12,374.10, 18,548.72 and 6,138.64

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Solution

The fourth proportional to 12,374.10, 18,548.72 and 6,138.64 is: 9,201.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,374.10 : 18,548.72 = 6,138.64 : x
  2. Step 2: Convert to fraction form
    12,374.10/18,548.72 = 6,138.64/x
  3. Step 3: Cross multiply
    12,374.10x = 18,548.72 × 6,138.64
  4. Step 4: Simplify right side
    12,374.10x = 113,863,914.54
  5. Step 5: Solve for x
    x = 113,863,914.54/12,374.10
  6. Step 6: Final answer
    x = 9,201.79

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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.