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Finding the Fourth Proportional to 21,087, 29,084.94 and 13,020.48

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Solution

The fourth proportional to 21,087, 29,084.94 and 13,020.48 is: 17,958.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,087 : 29,084.94 = 13,020.48 : x
  2. Step 2: Convert to fraction form
    21,087/29,084.94 = 13,020.48/x
  3. Step 3: Cross multiply
    21,087x = 29,084.94 × 13,020.48
  4. Step 4: Simplify right side
    21,087x = 378,699,879.57
  5. Step 5: Solve for x
    x = 378,699,879.57/21,087
  6. Step 6: Final answer
    x = 17,958.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.