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Finding the Fourth Proportional to 28,857.57, 43,290.02 and 9,129

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Solution

The fourth proportional to 28,857.57, 43,290.02 and 9,129 is: 13,694.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,857.57 : 43,290.02 = 9,129 : x
  2. Step 2: Convert to fraction form
    28,857.57/43,290.02 = 9,129/x
  3. Step 3: Cross multiply
    28,857.57x = 43,290.02 × 9,129
  4. Step 4: Simplify right side
    28,857.57x = 395,194,546.94
  5. Step 5: Solve for x
    x = 395,194,546.94/28,857.57
  6. Step 6: Final answer
    x = 13,694.66

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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.