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Finding the Fourth Proportional to 28,755.68, 39,680.70 and 16,178

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Solution

The fourth proportional to 28,755.68, 39,680.70 and 16,178 is: 22,324.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,755.68 : 39,680.70 = 16,178 : x
  2. Step 2: Convert to fraction form
    28,755.68/39,680.70 = 16,178/x
  3. Step 3: Cross multiply
    28,755.68x = 39,680.70 × 16,178
  4. Step 4: Simplify right side
    28,755.68x = 641,954,364.60
  5. Step 5: Solve for x
    x = 641,954,364.60/28,755.68
  6. Step 6: Final answer
    x = 22,324.44

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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.