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Finding the Fourth Proportional to 6,147.46, 9,218.93 and 2,197.65

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Solution

The fourth proportional to 6,147.46, 9,218.93 and 2,197.65 is: 3,295.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.46 : 9,218.93 = 2,197.65 : x
  2. Step 2: Convert to fraction form
    6,147.46/9,218.93 = 2,197.65/x
  3. Step 3: Cross multiply
    6,147.46x = 9,218.93 × 2,197.65
  4. Step 4: Simplify right side
    6,147.46x = 20,259,981.51
  5. Step 5: Solve for x
    x = 20,259,981.51/6,147.46
  6. Step 6: Final answer
    x = 3,295.67

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Double scale
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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.