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Finding the Fourth Proportional to 21,766.70, 32,640.32 and 6,180.68

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Solution

The fourth proportional to 21,766.70, 32,640.32 and 6,180.68 is: 9,268.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,766.70 : 32,640.32 = 6,180.68 : x
  2. Step 2: Convert to fraction form
    21,766.70/32,640.32 = 6,180.68/x
  3. Step 3: Cross multiply
    21,766.70x = 32,640.32 × 6,180.68
  4. Step 4: Simplify right side
    21,766.70x = 201,739,373.02
  5. Step 5: Solve for x
    x = 201,739,373.02/21,766.70
  6. Step 6: Final answer
    x = 9,268.26

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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.