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Finding the Fourth Proportional to 41,978, 57,928.28 and 23,114.64

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Solution

The fourth proportional to 41,978, 57,928.28 and 23,114.64 is: 31,897.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,978 : 57,928.28 = 23,114.64 : x
  2. Step 2: Convert to fraction form
    41,978/57,928.28 = 23,114.64/x
  3. Step 3: Cross multiply
    41,978x = 57,928.28 × 23,114.64
  4. Step 4: Simplify right side
    41,978x = 1,338,991,338.02
  5. Step 5: Solve for x
    x = 1,338,991,338.02/41,978
  6. Step 6: Final answer
    x = 31,897.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.