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Finding the Fourth Proportional to 21,703, 29,950.14 and 11,767

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Solution

The fourth proportional to 21,703, 29,950.14 and 11,767 is: 16,238.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,703 : 29,950.14 = 11,767 : x
  2. Step 2: Convert to fraction form
    21,703/29,950.14 = 11,767/x
  3. Step 3: Cross multiply
    21,703x = 29,950.14 × 11,767
  4. Step 4: Simplify right side
    21,703x = 352,423,297.38
  5. Step 5: Solve for x
    x = 352,423,297.38/21,703
  6. Step 6: Final answer
    x = 16,238.46

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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.