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Finding the Fourth Proportional to 19,243.74, 28,868.64 and 8,150.46

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Solution

The fourth proportional to 19,243.74, 28,868.64 and 8,150.46 is: 12,226.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,243.74 : 28,868.64 = 8,150.46 : x
  2. Step 2: Convert to fraction form
    19,243.74/28,868.64 = 8,150.46/x
  3. Step 3: Cross multiply
    19,243.74x = 28,868.64 × 8,150.46
  4. Step 4: Simplify right side
    19,243.74x = 235,292,695.57
  5. Step 5: Solve for x
    x = 235,292,695.57/19,243.74
  6. Step 6: Final answer
    x = 12,226.97

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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.