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Finding the Fourth Proportional to 19,097, 28,654.60 and 9,230.78

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Solution

The fourth proportional to 19,097, 28,654.60 and 9,230.78 is: 13,850.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,097 : 28,654.60 = 9,230.78 : x
  2. Step 2: Convert to fraction form
    19,097/28,654.60 = 9,230.78/x
  3. Step 3: Cross multiply
    19,097x = 28,654.60 × 9,230.78
  4. Step 4: Simplify right side
    19,097x = 264,504,308.59
  5. Step 5: Solve for x
    x = 264,504,308.59/19,097
  6. Step 6: Final answer
    x = 13,850.57

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1.5x scale

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.