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Finding the Fourth Proportional to 9,241.26, 12,737.94 and 7,221.14

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Solution

The fourth proportional to 9,241.26, 12,737.94 and 7,221.14 is: 9,953.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241.26 : 12,737.94 = 7,221.14 : x
  2. Step 2: Convert to fraction form
    9,241.26/12,737.94 = 7,221.14/x
  3. Step 3: Cross multiply
    9,241.26x = 12,737.94 × 7,221.14
  4. Step 4: Simplify right side
    9,241.26x = 91,982,448.05
  5. Step 5: Solve for x
    x = 91,982,448.05/9,241.26
  6. Step 6: Final answer
    x = 9,953.45

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1.5x scale

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.