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Finding the Fourth Proportional to 28,738.30, 43,109.88 and 7,681.54

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Solution

The fourth proportional to 28,738.30, 43,109.88 and 7,681.54 is: 11,522.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,738.30 : 43,109.88 = 7,681.54 : x
  2. Step 2: Convert to fraction form
    28,738.30/43,109.88 = 7,681.54/x
  3. Step 3: Cross multiply
    28,738.30x = 43,109.88 × 7,681.54
  4. Step 4: Simplify right side
    28,738.30x = 331,150,267.62
  5. Step 5: Solve for x
    x = 331,150,267.62/28,738.30
  6. Step 6: Final answer
    x = 11,522.96

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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.