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Finding the Fourth Proportional to 7,112.16, 10,665 and 4,609.26

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Solution

The fourth proportional to 7,112.16, 10,665 and 4,609.26 is: 6,911.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,112.16 : 10,665 = 4,609.26 : x
  2. Step 2: Convert to fraction form
    7,112.16/10,665 = 4,609.26/x
  3. Step 3: Cross multiply
    7,112.16x = 10,665 × 4,609.26
  4. Step 4: Simplify right side
    7,112.16x = 49,157,757.90
  5. Step 5: Solve for x
    x = 49,157,757.90/7,112.16
  6. Step 6: Final answer
    x = 6,911.79

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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.