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Finding the Fourth Proportional to 8,465.75, 12,698.67 and 2,309.75

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Solution

The fourth proportional to 8,465.75, 12,698.67 and 2,309.75 is: 3,464.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,465.75 : 12,698.67 = 2,309.75 : x
  2. Step 2: Convert to fraction form
    8,465.75/12,698.67 = 2,309.75/x
  3. Step 3: Cross multiply
    8,465.75x = 12,698.67 × 2,309.75
  4. Step 4: Simplify right side
    8,465.75x = 29,330,753.03
  5. Step 5: Solve for x
    x = 29,330,753.03/8,465.75
  6. Step 6: Final answer
    x = 3,464.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.