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Finding the Fourth Proportional to 28,715.31, 43,072.97 and 13,122

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Solution

The fourth proportional to 28,715.31, 43,072.97 and 13,122 is: 19,683.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,715.31 : 43,072.97 = 13,122 : x
  2. Step 2: Convert to fraction form
    28,715.31/43,072.97 = 13,122/x
  3. Step 3: Cross multiply
    28,715.31x = 43,072.97 × 13,122
  4. Step 4: Simplify right side
    28,715.31x = 565,203,446.73
  5. Step 5: Solve for x
    x = 565,203,446.73/28,715.31
  6. Step 6: Final answer
    x = 19,683.00

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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.