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Finding the Fourth Proportional to 5,101.38, 7,636.16 and 3,928.34

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Solution

The fourth proportional to 5,101.38, 7,636.16 and 3,928.34 is: 5,880.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.38 : 7,636.16 = 3,928.34 : x
  2. Step 2: Convert to fraction form
    5,101.38/7,636.16 = 3,928.34/x
  3. Step 3: Cross multiply
    5,101.38x = 7,636.16 × 3,928.34
  4. Step 4: Simplify right side
    5,101.38x = 29,997,461.69
  5. Step 5: Solve for x
    x = 29,997,461.69/5,101.38
  6. Step 6: Final answer
    x = 5,880.26

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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.