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Finding the Fourth Proportional to 21,278, 29,363.64 and 12,892.88

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Solution

The fourth proportional to 21,278, 29,363.64 and 12,892.88 is: 17,792.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,278 : 29,363.64 = 12,892.88 : x
  2. Step 2: Convert to fraction form
    21,278/29,363.64 = 12,892.88/x
  3. Step 3: Cross multiply
    21,278x = 29,363.64 × 12,892.88
  4. Step 4: Simplify right side
    21,278x = 378,581,886.88
  5. Step 5: Solve for x
    x = 378,581,886.88/21,278
  6. Step 6: Final answer
    x = 17,792.17

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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.