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Finding the Fourth Proportional to 21,706.27, 29,958.49 and 12,753.77

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Solution

The fourth proportional to 21,706.27, 29,958.49 and 12,753.77 is: 17,602.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,706.27 : 29,958.49 = 12,753.77 : x
  2. Step 2: Convert to fraction form
    21,706.27/29,958.49 = 12,753.77/x
  3. Step 3: Cross multiply
    21,706.27x = 29,958.49 × 12,753.77
  4. Step 4: Simplify right side
    21,706.27x = 382,083,669.50
  5. Step 5: Solve for x
    x = 382,083,669.50/21,706.27
  6. Step 6: Final answer
    x = 17,602.46

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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.