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Finding the Fourth Proportional to 39,928.80, 55,098 and 23,160

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Solution

The fourth proportional to 39,928.80, 55,098 and 23,160 is: 31,958.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,928.80 : 55,098 = 23,160 : x
  2. Step 2: Convert to fraction form
    39,928.80/55,098 = 23,160/x
  3. Step 3: Cross multiply
    39,928.80x = 55,098 × 23,160
  4. Step 4: Simplify right side
    39,928.80x = 1,276,069,680
  5. Step 5: Solve for x
    x = 1,276,069,680/39,928.80
  6. Step 6: Final answer
    x = 31,958.63

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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.