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Finding the Fourth Proportional to 21,696.84, 29,947.17 and 12,270.87

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Solution

The fourth proportional to 21,696.84, 29,947.17 and 12,270.87 is: 16,936.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,696.84 : 29,947.17 = 12,270.87 : x
  2. Step 2: Convert to fraction form
    21,696.84/29,947.17 = 12,270.87/x
  3. Step 3: Cross multiply
    21,696.84x = 29,947.17 × 12,270.87
  4. Step 4: Simplify right side
    21,696.84x = 367,477,829.94
  5. Step 5: Solve for x
    x = 367,477,829.94/21,696.84
  6. Step 6: Final answer
    x = 16,936.93

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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.