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Finding the Fourth Proportional to 21,828.16, 30,126.50 and 12,877.88

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Solution

The fourth proportional to 21,828.16, 30,126.50 and 12,877.88 is: 17,773.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,828.16 : 30,126.50 = 12,877.88 : x
  2. Step 2: Convert to fraction form
    21,828.16/30,126.50 = 12,877.88/x
  3. Step 3: Cross multiply
    21,828.16x = 30,126.50 × 12,877.88
  4. Step 4: Simplify right side
    21,828.16x = 387,965,451.82
  5. Step 5: Solve for x
    x = 387,965,451.82/21,828.16
  6. Step 6: Final answer
    x = 17,773.62

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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.