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Finding the Fourth Proportional to 21,080.44, 29,087.50 and 12,586

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Solution

The fourth proportional to 21,080.44, 29,087.50 and 12,586 is: 17,366.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,080.44 : 29,087.50 = 12,586 : x
  2. Step 2: Convert to fraction form
    21,080.44/29,087.50 = 12,586/x
  3. Step 3: Cross multiply
    21,080.44x = 29,087.50 × 12,586
  4. Step 4: Simplify right side
    21,080.44x = 366,095,275
  5. Step 5: Solve for x
    x = 366,095,275/21,080.44
  6. Step 6: Final answer
    x = 17,366.59

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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.