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Finding the Fourth Proportional to 7,389, 10,196.82 and 4,077

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Solution

The fourth proportional to 7,389, 10,196.82 and 4,077 is: 5,626.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,389 : 10,196.82 = 4,077 : x
  2. Step 2: Convert to fraction form
    7,389/10,196.82 = 4,077/x
  3. Step 3: Cross multiply
    7,389x = 10,196.82 × 4,077
  4. Step 4: Simplify right side
    7,389x = 41,572,435.14
  5. Step 5: Solve for x
    x = 41,572,435.14/7,389
  6. Step 6: Final answer
    x = 5,626.26

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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.