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Finding the Fourth Proportional to 18,733.76, 28,102.80 and 6,891.20

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Solution

The fourth proportional to 18,733.76, 28,102.80 and 6,891.20 is: 10,337.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,733.76 : 28,102.80 = 6,891.20 : x
  2. Step 2: Convert to fraction form
    18,733.76/28,102.80 = 6,891.20/x
  3. Step 3: Cross multiply
    18,733.76x = 28,102.80 × 6,891.20
  4. Step 4: Simplify right side
    18,733.76x = 193,662,015.36
  5. Step 5: Solve for x
    x = 193,662,015.36/18,733.76
  6. Step 6: Final answer
    x = 10,337.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.