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Finding the Fourth Proportional to 28,731, 43,096.56 and 7,954.56

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Solution

The fourth proportional to 28,731, 43,096.56 and 7,954.56 is: 11,931.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,731 : 43,096.56 = 7,954.56 : x
  2. Step 2: Convert to fraction form
    28,731/43,096.56 = 7,954.56/x
  3. Step 3: Cross multiply
    28,731x = 43,096.56 × 7,954.56
  4. Step 4: Simplify right side
    28,731x = 342,814,172.31
  5. Step 5: Solve for x
    x = 342,814,172.31/28,731
  6. Step 6: Final answer
    x = 11,931.86

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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.