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Finding the Fourth Proportional to 7,900.03, 11,841.54 and 4,198.53

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Solution

The fourth proportional to 7,900.03, 11,841.54 and 4,198.53 is: 6,293.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,900.03 : 11,841.54 = 4,198.53 : x
  2. Step 2: Convert to fraction form
    7,900.03/11,841.54 = 4,198.53/x
  3. Step 3: Cross multiply
    7,900.03x = 11,841.54 × 4,198.53
  4. Step 4: Simplify right side
    7,900.03x = 49,717,060.94
  5. Step 5: Solve for x
    x = 49,717,060.94/7,900.03
  6. Step 6: Final answer
    x = 6,293.27

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1.5x scale

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.