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Finding the Fourth Proportional to 8,243, 11,375.34 and 4,931

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Solution

The fourth proportional to 8,243, 11,375.34 and 4,931 is: 6,804.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243 : 11,375.34 = 4,931 : x
  2. Step 2: Convert to fraction form
    8,243/11,375.34 = 4,931/x
  3. Step 3: Cross multiply
    8,243x = 11,375.34 × 4,931
  4. Step 4: Simplify right side
    8,243x = 56,091,801.54
  5. Step 5: Solve for x
    x = 56,091,801.54/8,243
  6. Step 6: Final answer
    x = 6,804.78

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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.