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Finding the Fourth Proportional to 6,246, 9,364.68 and 3,781.44

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Solution

The fourth proportional to 6,246, 9,364.68 and 3,781.44 is: 5,669.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,246 : 9,364.68 = 3,781.44 : x
  2. Step 2: Convert to fraction form
    6,246/9,364.68 = 3,781.44/x
  3. Step 3: Cross multiply
    6,246x = 9,364.68 × 3,781.44
  4. Step 4: Simplify right side
    6,246x = 35,411,975.54
  5. Step 5: Solve for x
    x = 35,411,975.54/6,246
  6. Step 6: Final answer
    x = 5,669.54

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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.