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Finding the Fourth Proportional to 21,586, 29,787.84 and 12,026.38

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Solution

The fourth proportional to 21,586, 29,787.84 and 12,026.38 is: 16,595.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,586 : 29,787.84 = 12,026.38 : x
  2. Step 2: Convert to fraction form
    21,586/29,787.84 = 12,026.38/x
  3. Step 3: Cross multiply
    21,586x = 29,787.84 × 12,026.38
  4. Step 4: Simplify right side
    21,586x = 358,239,883.22
  5. Step 5: Solve for x
    x = 358,239,883.22/21,586
  6. Step 6: Final answer
    x = 16,595.94

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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.