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Finding the Fourth Proportional to 7,189.72, 10,762.28 and 3,894.64

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Solution

The fourth proportional to 7,189.72, 10,762.28 and 3,894.64 is: 5,829.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,189.72 : 10,762.28 = 3,894.64 : x
  2. Step 2: Convert to fraction form
    7,189.72/10,762.28 = 3,894.64/x
  3. Step 3: Cross multiply
    7,189.72x = 10,762.28 × 3,894.64
  4. Step 4: Simplify right side
    7,189.72x = 41,915,206.18
  5. Step 5: Solve for x
    x = 41,915,206.18/7,189.72
  6. Step 6: Final answer
    x = 5,829.88

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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.