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Finding the Fourth Proportional to 7,636, 10,538.32 and 4,279.60

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Solution

The fourth proportional to 7,636, 10,538.32 and 4,279.60 is: 5,906.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,636 : 10,538.32 = 4,279.60 : x
  2. Step 2: Convert to fraction form
    7,636/10,538.32 = 4,279.60/x
  3. Step 3: Cross multiply
    7,636x = 10,538.32 × 4,279.60
  4. Step 4: Simplify right side
    7,636x = 45,099,794.27
  5. Step 5: Solve for x
    x = 45,099,794.27/7,636
  6. Step 6: Final answer
    x = 5,906.21

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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.