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Finding the Fourth Proportional to 12,293.70, 18,404.10 and 8,138.40

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Solution

The fourth proportional to 12,293.70, 18,404.10 and 8,138.40 is: 12,183.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,293.70 : 18,404.10 = 8,138.40 : x
  2. Step 2: Convert to fraction form
    12,293.70/18,404.10 = 8,138.40/x
  3. Step 3: Cross multiply
    12,293.70x = 18,404.10 × 8,138.40
  4. Step 4: Simplify right side
    12,293.70x = 149,779,927.44
  5. Step 5: Solve for x
    x = 149,779,927.44/12,293.70
  6. Step 6: Final answer
    x = 12,183.47

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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.