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Finding the Fourth Proportional to 19,239.39, 28,806 and 9,859.44

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Solution

The fourth proportional to 19,239.39, 28,806 and 9,859.44 is: 14,761.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,239.39 : 28,806 = 9,859.44 : x
  2. Step 2: Convert to fraction form
    19,239.39/28,806 = 9,859.44/x
  3. Step 3: Cross multiply
    19,239.39x = 28,806 × 9,859.44
  4. Step 4: Simplify right side
    19,239.39x = 284,011,028.64
  5. Step 5: Solve for x
    x = 284,011,028.64/19,239.39
  6. Step 6: Final answer
    x = 14,761.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.