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Finding the Fourth Proportional to 28,706.56, 43,059.76 and 7,930

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Solution

The fourth proportional to 28,706.56, 43,059.76 and 7,930 is: 11,894.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,706.56 : 43,059.76 = 7,930 : x
  2. Step 2: Convert to fraction form
    28,706.56/43,059.76 = 7,930/x
  3. Step 3: Cross multiply
    28,706.56x = 43,059.76 × 7,930
  4. Step 4: Simplify right side
    28,706.56x = 341,463,896.80
  5. Step 5: Solve for x
    x = 341,463,896.80/28,706.56
  6. Step 6: Final answer
    x = 11,894.98

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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.