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Finding the Fourth Proportional to 21,271.82, 31,892.07 and 7,228.07

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Solution

The fourth proportional to 21,271.82, 31,892.07 and 7,228.07 is: 10,836.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,271.82 : 31,892.07 = 7,228.07 : x
  2. Step 2: Convert to fraction form
    21,271.82/31,892.07 = 7,228.07/x
  3. Step 3: Cross multiply
    21,271.82x = 31,892.07 × 7,228.07
  4. Step 4: Simplify right side
    21,271.82x = 230,517,982.05
  5. Step 5: Solve for x
    x = 230,517,982.05/21,271.82
  6. Step 6: Final answer
    x = 10,836.78

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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.