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Finding the Fourth Proportional to 28,713.16, 43,069.74 and 8,991.82

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Solution

The fourth proportional to 28,713.16, 43,069.74 and 8,991.82 is: 13,487.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,713.16 : 43,069.74 = 8,991.82 : x
  2. Step 2: Convert to fraction form
    28,713.16/43,069.74 = 8,991.82/x
  3. Step 3: Cross multiply
    28,713.16x = 43,069.74 × 8,991.82
  4. Step 4: Simplify right side
    28,713.16x = 387,275,349.53
  5. Step 5: Solve for x
    x = 387,275,349.53/28,713.16
  6. Step 6: Final answer
    x = 13,487.73

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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.