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Finding the Fourth Proportional to 21,616, 29,830.08 and 11,680

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Solution

The fourth proportional to 21,616, 29,830.08 and 11,680 is: 16,118.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,616 : 29,830.08 = 11,680 : x
  2. Step 2: Convert to fraction form
    21,616/29,830.08 = 11,680/x
  3. Step 3: Cross multiply
    21,616x = 29,830.08 × 11,680
  4. Step 4: Simplify right side
    21,616x = 348,415,334.40
  5. Step 5: Solve for x
    x = 348,415,334.40/21,616
  6. Step 6: Final answer
    x = 16,118.40

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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.