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Finding the Fourth Proportional to 21,846.81, 32,766.57 and 7,804.56

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Solution

The fourth proportional to 21,846.81, 32,766.57 and 7,804.56 is: 11,705.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,846.81 : 32,766.57 = 7,804.56 : x
  2. Step 2: Convert to fraction form
    21,846.81/32,766.57 = 7,804.56/x
  3. Step 3: Cross multiply
    21,846.81x = 32,766.57 × 7,804.56
  4. Step 4: Simplify right side
    21,846.81x = 255,728,661.56
  5. Step 5: Solve for x
    x = 255,728,661.56/21,846.81
  6. Step 6: Final answer
    x = 11,705.54

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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.