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Finding the Fourth Proportional to 39,896.80, 55,053.84 and 23,128

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Solution

The fourth proportional to 39,896.80, 55,053.84 and 23,128 is: 31,914.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,896.80 : 55,053.84 = 23,128 : x
  2. Step 2: Convert to fraction form
    39,896.80/55,053.84 = 23,128/x
  3. Step 3: Cross multiply
    39,896.80x = 55,053.84 × 23,128
  4. Step 4: Simplify right side
    39,896.80x = 1,273,285,211.52
  5. Step 5: Solve for x
    x = 1,273,285,211.52/39,896.80
  6. Step 6: Final answer
    x = 31,914.47

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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.