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Finding the Fourth Proportional to 21,614, 29,827.32 and 11,678

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Solution

The fourth proportional to 21,614, 29,827.32 and 11,678 is: 16,115.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,614 : 29,827.32 = 11,678 : x
  2. Step 2: Convert to fraction form
    21,614/29,827.32 = 11,678/x
  3. Step 3: Cross multiply
    21,614x = 29,827.32 × 11,678
  4. Step 4: Simplify right side
    21,614x = 348,323,442.96
  5. Step 5: Solve for x
    x = 348,323,442.96/21,614
  6. Step 6: Final answer
    x = 16,115.64

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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.