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Finding the Fourth Proportional to 28,530, 42,771.84 and 11,902.48

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Solution

The fourth proportional to 28,530, 42,771.84 and 11,902.48 is: 17,844.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,530 : 42,771.84 = 11,902.48 : x
  2. Step 2: Convert to fraction form
    28,530/42,771.84 = 11,902.48/x
  3. Step 3: Cross multiply
    28,530x = 42,771.84 × 11,902.48
  4. Step 4: Simplify right side
    28,530x = 509,090,970.16
  5. Step 5: Solve for x
    x = 509,090,970.16/28,530
  6. Step 6: Final answer
    x = 17,844.06

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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.