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Finding the Fourth Proportional to 7,122.94, 9,829.47 and 3,936.22

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Solution

The fourth proportional to 7,122.94, 9,829.47 and 3,936.22 is: 5,431.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.94 : 9,829.47 = 3,936.22 : x
  2. Step 2: Convert to fraction form
    7,122.94/9,829.47 = 3,936.22/x
  3. Step 3: Cross multiply
    7,122.94x = 9,829.47 × 3,936.22
  4. Step 4: Simplify right side
    7,122.94x = 38,690,956.40
  5. Step 5: Solve for x
    x = 38,690,956.40/7,122.94
  6. Step 6: Final answer
    x = 5,431.88

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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.