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Finding the Fourth Proportional to 28,076.16, 38,728.32 and 16,896

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Solution

The fourth proportional to 28,076.16, 38,728.32 and 16,896 is: 23,306.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,076.16 : 38,728.32 = 16,896 : x
  2. Step 2: Convert to fraction form
    28,076.16/38,728.32 = 16,896/x
  3. Step 3: Cross multiply
    28,076.16x = 38,728.32 × 16,896
  4. Step 4: Simplify right side
    28,076.16x = 654,353,694.72
  5. Step 5: Solve for x
    x = 654,353,694.72/28,076.16
  6. Step 6: Final answer
    x = 23,306.38

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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.