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Finding the Fourth Proportional to 28,739.76, 43,112.64 and 7,963.28

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Solution

The fourth proportional to 28,739.76, 43,112.64 and 7,963.28 is: 11,945.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,739.76 : 43,112.64 = 7,963.28 : x
  2. Step 2: Convert to fraction form
    28,739.76/43,112.64 = 7,963.28/x
  3. Step 3: Cross multiply
    28,739.76x = 43,112.64 × 7,963.28
  4. Step 4: Simplify right side
    28,739.76x = 343,318,023.86
  5. Step 5: Solve for x
    x = 343,318,023.86/28,739.76
  6. Step 6: Final answer
    x = 11,945.75

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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.