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Finding the Fourth Proportional to 9,243.96, 12,756.38 and 5,265.64

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Solution

The fourth proportional to 9,243.96, 12,756.38 and 5,265.64 is: 7,266.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243.96 : 12,756.38 = 5,265.64 : x
  2. Step 2: Convert to fraction form
    9,243.96/12,756.38 = 5,265.64/x
  3. Step 3: Cross multiply
    9,243.96x = 12,756.38 × 5,265.64
  4. Step 4: Simplify right side
    9,243.96x = 67,170,504.78
  5. Step 5: Solve for x
    x = 67,170,504.78/9,243.96
  6. Step 6: Final answer
    x = 7,266.42

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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.