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Finding the Fourth Proportional to 21,208, 29,267.04 and 12,376

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Solution

The fourth proportional to 21,208, 29,267.04 and 12,376 is: 17,078.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,208 : 29,267.04 = 12,376 : x
  2. Step 2: Convert to fraction form
    21,208/29,267.04 = 12,376/x
  3. Step 3: Cross multiply
    21,208x = 29,267.04 × 12,376
  4. Step 4: Simplify right side
    21,208x = 362,208,887.04
  5. Step 5: Solve for x
    x = 362,208,887.04/21,208
  6. Step 6: Final answer
    x = 17,078.88

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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.