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Finding the Fourth Proportional to 18,723.84, 28,064 and 7,029.60

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Solution

The fourth proportional to 18,723.84, 28,064 and 7,029.60 is: 10,536.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,723.84 : 28,064 = 7,029.60 : x
  2. Step 2: Convert to fraction form
    18,723.84/28,064 = 7,029.60/x
  3. Step 3: Cross multiply
    18,723.84x = 28,064 × 7,029.60
  4. Step 4: Simplify right side
    18,723.84x = 197,278,694.40
  5. Step 5: Solve for x
    x = 197,278,694.40/18,723.84
  6. Step 6: Final answer
    x = 10,536.23

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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.