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Finding the Fourth Proportional to 21,779.88, 30,051.59 and 12,824.11

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Solution

The fourth proportional to 21,779.88, 30,051.59 and 12,824.11 is: 17,694.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,779.88 : 30,051.59 = 12,824.11 : x
  2. Step 2: Convert to fraction form
    21,779.88/30,051.59 = 12,824.11/x
  3. Step 3: Cross multiply
    21,779.88x = 30,051.59 × 12,824.11
  4. Step 4: Simplify right side
    21,779.88x = 385,384,927.90
  5. Step 5: Solve for x
    x = 385,384,927.90/21,779.88
  6. Step 6: Final answer
    x = 17,694.54

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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.