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Finding the Fourth Proportional to 19,221.16, 28,835.64 and 8,127.82

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Solution

The fourth proportional to 19,221.16, 28,835.64 and 8,127.82 is: 12,193.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,221.16 : 28,835.64 = 8,127.82 : x
  2. Step 2: Convert to fraction form
    19,221.16/28,835.64 = 8,127.82/x
  3. Step 3: Cross multiply
    19,221.16x = 28,835.64 × 8,127.82
  4. Step 4: Simplify right side
    19,221.16x = 234,370,891.50
  5. Step 5: Solve for x
    x = 234,370,891.50/19,221.16
  6. Step 6: Final answer
    x = 12,193.38

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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.