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Finding the Fourth Proportional to 19,222.68, 26,528.22 and 10,839

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Solution

The fourth proportional to 19,222.68, 26,528.22 and 10,839 is: 14,958.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,222.68 : 26,528.22 = 10,839 : x
  2. Step 2: Convert to fraction form
    19,222.68/26,528.22 = 10,839/x
  3. Step 3: Cross multiply
    19,222.68x = 26,528.22 × 10,839
  4. Step 4: Simplify right side
    19,222.68x = 287,539,376.58
  5. Step 5: Solve for x
    x = 287,539,376.58/19,222.68
  6. Step 6: Final answer
    x = 14,958.34

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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.