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Finding the Fourth Proportional to 28,954, 43,431.18 and 8,177.68

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Solution

The fourth proportional to 28,954, 43,431.18 and 8,177.68 is: 12,266.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,954 : 43,431.18 = 8,177.68 : x
  2. Step 2: Convert to fraction form
    28,954/43,431.18 = 8,177.68/x
  3. Step 3: Cross multiply
    28,954x = 43,431.18 × 8,177.68
  4. Step 4: Simplify right side
    28,954x = 355,166,292.06
  5. Step 5: Solve for x
    x = 355,166,292.06/28,954
  6. Step 6: Final answer
    x = 12,266.57

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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.