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Finding the Fourth Proportional to 34,480.80, 51,726.96 and 12,288.96

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Solution

The fourth proportional to 34,480.80, 51,726.96 and 12,288.96 is: 18,435.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,480.80 : 51,726.96 = 12,288.96 : x
  2. Step 2: Convert to fraction form
    34,480.80/51,726.96 = 12,288.96/x
  3. Step 3: Cross multiply
    34,480.80x = 51,726.96 × 12,288.96
  4. Step 4: Simplify right side
    34,480.80x = 635,670,542.36
  5. Step 5: Solve for x
    x = 635,670,542.36/34,480.80
  6. Step 6: Final answer
    x = 18,435.49

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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.