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Finding the Fourth Proportional to 7,741.36, 11,616.90 and 7,243.21

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Solution

The fourth proportional to 7,741.36, 11,616.90 and 7,243.21 is: 10,869.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,741.36 : 11,616.90 = 7,243.21 : x
  2. Step 2: Convert to fraction form
    7,741.36/11,616.90 = 7,243.21/x
  3. Step 3: Cross multiply
    7,741.36x = 11,616.90 × 7,243.21
  4. Step 4: Simplify right side
    7,741.36x = 84,143,646.25
  5. Step 5: Solve for x
    x = 84,143,646.25/7,741.36
  6. Step 6: Final answer
    x = 10,869.36

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1.5x scale

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.