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Finding the Fourth Proportional to 19,068, 28,610.64 and 9,205.44

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Solution

The fourth proportional to 19,068, 28,610.64 and 9,205.44 is: 13,812.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,068 : 28,610.64 = 9,205.44 : x
  2. Step 2: Convert to fraction form
    19,068/28,610.64 = 9,205.44/x
  3. Step 3: Cross multiply
    19,068x = 28,610.64 × 9,205.44
  4. Step 4: Simplify right side
    19,068x = 263,373,529.88
  5. Step 5: Solve for x
    x = 263,373,529.88/19,068
  6. Step 6: Final answer
    x = 13,812.33

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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.