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Finding the Fourth Proportional to 21,613, 29,825.94 and 11,677

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Solution

The fourth proportional to 21,613, 29,825.94 and 11,677 is: 16,114.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,613 : 29,825.94 = 11,677 : x
  2. Step 2: Convert to fraction form
    21,613/29,825.94 = 11,677/x
  3. Step 3: Cross multiply
    21,613x = 29,825.94 × 11,677
  4. Step 4: Simplify right side
    21,613x = 348,277,501.38
  5. Step 5: Solve for x
    x = 348,277,501.38/21,613
  6. Step 6: Final answer
    x = 16,114.26

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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.