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Finding the Fourth Proportional to 16,520, 24,783.24 and 7,286

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Solution

The fourth proportional to 16,520, 24,783.24 and 7,286 is: 10,930.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,520 : 24,783.24 = 7,286 : x
  2. Step 2: Convert to fraction form
    16,520/24,783.24 = 7,286/x
  3. Step 3: Cross multiply
    16,520x = 24,783.24 × 7,286
  4. Step 4: Simplify right side
    16,520x = 180,570,686.64
  5. Step 5: Solve for x
    x = 180,570,686.64/16,520
  6. Step 6: Final answer
    x = 10,930.43

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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.