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Finding the Fourth Proportional to 12,378.78, 17,093.70 and 8,414.64

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Solution

The fourth proportional to 12,378.78, 17,093.70 and 8,414.64 is: 11,619.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378.78 : 17,093.70 = 8,414.64 : x
  2. Step 2: Convert to fraction form
    12,378.78/17,093.70 = 8,414.64/x
  3. Step 3: Cross multiply
    12,378.78x = 17,093.70 × 8,414.64
  4. Step 4: Simplify right side
    12,378.78x = 143,837,331.77
  5. Step 5: Solve for x
    x = 143,837,331.77/12,378.78
  6. Step 6: Final answer
    x = 11,619.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.