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Finding the Fourth Proportional to 10,923, 16,458.90 and 9,729.54

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Solution

The fourth proportional to 10,923, 16,458.90 and 9,729.54 is: 14,660.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,923 : 16,458.90 = 9,729.54 : x
  2. Step 2: Convert to fraction form
    10,923/16,458.90 = 9,729.54/x
  3. Step 3: Cross multiply
    10,923x = 16,458.90 × 9,729.54
  4. Step 4: Simplify right side
    10,923x = 160,137,525.91
  5. Step 5: Solve for x
    x = 160,137,525.91/10,923
  6. Step 6: Final answer
    x = 14,660.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.