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Finding the Fourth Proportional to 26,923, 40,391.04 and 8,455

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Solution

The fourth proportional to 26,923, 40,391.04 and 8,455 is: 12,684.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,923 : 40,391.04 = 8,455 : x
  2. Step 2: Convert to fraction form
    26,923/40,391.04 = 8,455/x
  3. Step 3: Cross multiply
    26,923x = 40,391.04 × 8,455
  4. Step 4: Simplify right side
    26,923x = 341,506,243.20
  5. Step 5: Solve for x
    x = 341,506,243.20/26,923
  6. Step 6: Final answer
    x = 12,684.55

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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.