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Finding the Fourth Proportional to 18,709.64, 28,064.18 and 10,824

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Solution

The fourth proportional to 18,709.64, 28,064.18 and 10,824 is: 16,235.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,709.64 : 28,064.18 = 10,824 : x
  2. Step 2: Convert to fraction form
    18,709.64/28,064.18 = 10,824/x
  3. Step 3: Cross multiply
    18,709.64x = 28,064.18 × 10,824
  4. Step 4: Simplify right side
    18,709.64x = 303,766,684.32
  5. Step 5: Solve for x
    x = 303,766,684.32/18,709.64
  6. Step 6: Final answer
    x = 16,235.84

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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.