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Finding the Fourth Proportional to 9,165.87, 12,659.22 and 6,193.98

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Solution

The fourth proportional to 9,165.87, 12,659.22 and 6,193.98 is: 8,554.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.87 : 12,659.22 = 6,193.98 : x
  2. Step 2: Convert to fraction form
    9,165.87/12,659.22 = 6,193.98/x
  3. Step 3: Cross multiply
    9,165.87x = 12,659.22 × 6,193.98
  4. Step 4: Simplify right side
    9,165.87x = 78,410,955.50
  5. Step 5: Solve for x
    x = 78,410,955.50/9,165.87
  6. Step 6: Final answer
    x = 8,554.67

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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.