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Finding the Fourth Proportional to 19,152, 26,429.81 and 11,198.61

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Solution

The fourth proportional to 19,152, 26,429.81 and 11,198.61 is: 15,454.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,152 : 26,429.81 = 11,198.61 : x
  2. Step 2: Convert to fraction form
    19,152/26,429.81 = 11,198.61/x
  3. Step 3: Cross multiply
    19,152x = 26,429.81 × 11,198.61
  4. Step 4: Simplify right side
    19,152x = 295,977,134.56
  5. Step 5: Solve for x
    x = 295,977,134.56/19,152
  6. Step 6: Final answer
    x = 15,454.11

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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.