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Finding the Fourth Proportional to 21,208, 29,267.04 and 13,756

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Solution

The fourth proportional to 21,208, 29,267.04 and 13,756 is: 18,983.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,208 : 29,267.04 = 13,756 : x
  2. Step 2: Convert to fraction form
    21,208/29,267.04 = 13,756/x
  3. Step 3: Cross multiply
    21,208x = 29,267.04 × 13,756
  4. Step 4: Simplify right side
    21,208x = 402,597,402.24
  5. Step 5: Solve for x
    x = 402,597,402.24/21,208
  6. Step 6: Final answer
    x = 18,983.28

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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.