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Finding the Fourth Proportional to 28,966, 43,450.84 and 8,191.12

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Solution

The fourth proportional to 28,966, 43,450.84 and 8,191.12 is: 12,287.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,966 : 43,450.84 = 8,191.12 : x
  2. Step 2: Convert to fraction form
    28,966/43,450.84 = 8,191.12/x
  3. Step 3: Cross multiply
    28,966x = 43,450.84 × 8,191.12
  4. Step 4: Simplify right side
    28,966x = 355,911,044.54
  5. Step 5: Solve for x
    x = 355,911,044.54/28,966
  6. Step 6: Final answer
    x = 12,287.20

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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.