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Finding the Fourth Proportional to 9,486.57, 14,230.41 and 2,912.82

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Solution

The fourth proportional to 9,486.57, 14,230.41 and 2,912.82 is: 4,369.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.57 : 14,230.41 = 2,912.82 : x
  2. Step 2: Convert to fraction form
    9,486.57/14,230.41 = 2,912.82/x
  3. Step 3: Cross multiply
    9,486.57x = 14,230.41 × 2,912.82
  4. Step 4: Simplify right side
    9,486.57x = 41,450,622.86
  5. Step 5: Solve for x
    x = 41,450,622.86/9,486.57
  6. Step 6: Final answer
    x = 4,369.40

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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.