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Finding the Fourth Proportional to 28,105.76, 38,780.88 and 18,164

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Solution

The fourth proportional to 28,105.76, 38,780.88 and 18,164 is: 25,063.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,105.76 : 38,780.88 = 18,164 : x
  2. Step 2: Convert to fraction form
    28,105.76/38,780.88 = 18,164/x
  3. Step 3: Cross multiply
    28,105.76x = 38,780.88 × 18,164
  4. Step 4: Simplify right side
    28,105.76x = 704,415,904.32
  5. Step 5: Solve for x
    x = 704,415,904.32/28,105.76
  6. Step 6: Final answer
    x = 25,063.04

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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.