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Finding the Fourth Proportional to 18,697.62, 28,046.18 and 4,657.76

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Solution

The fourth proportional to 18,697.62, 28,046.18 and 4,657.76 is: 6,986.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,697.62 : 28,046.18 = 4,657.76 : x
  2. Step 2: Convert to fraction form
    18,697.62/28,046.18 = 4,657.76/x
  3. Step 3: Cross multiply
    18,697.62x = 28,046.18 × 4,657.76
  4. Step 4: Simplify right side
    18,697.62x = 130,632,375.36
  5. Step 5: Solve for x
    x = 130,632,375.36/18,697.62
  6. Step 6: Final answer
    x = 6,986.58

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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.