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Finding the Fourth Proportional to 38,420, 53,019.60 and 20,756

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Solution

The fourth proportional to 38,420, 53,019.60 and 20,756 is: 28,643.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,420 : 53,019.60 = 20,756 : x
  2. Step 2: Convert to fraction form
    38,420/53,019.60 = 20,756/x
  3. Step 3: Cross multiply
    38,420x = 53,019.60 × 20,756
  4. Step 4: Simplify right side
    38,420x = 1,100,474,817.60
  5. Step 5: Solve for x
    x = 1,100,474,817.60/38,420
  6. Step 6: Final answer
    x = 28,643.28

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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.