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Finding the Fourth Proportional to 9,396.75, 12,967.92 and 5,205

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Solution

The fourth proportional to 9,396.75, 12,967.92 and 5,205 is: 7,183.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396.75 : 12,967.92 = 5,205 : x
  2. Step 2: Convert to fraction form
    9,396.75/12,967.92 = 5,205/x
  3. Step 3: Cross multiply
    9,396.75x = 12,967.92 × 5,205
  4. Step 4: Simplify right side
    9,396.75x = 67,498,023.60
  5. Step 5: Solve for x
    x = 67,498,023.60/9,396.75
  6. Step 6: Final answer
    x = 7,183.12

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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.