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Finding the Fourth Proportional to 21,902.94, 32,857.38 and 7,107.08

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Solution

The fourth proportional to 21,902.94, 32,857.38 and 7,107.08 is: 10,661.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,902.94 : 32,857.38 = 7,107.08 : x
  2. Step 2: Convert to fraction form
    21,902.94/32,857.38 = 7,107.08/x
  3. Step 3: Cross multiply
    21,902.94x = 32,857.38 × 7,107.08
  4. Step 4: Simplify right side
    21,902.94x = 233,519,863.96
  5. Step 5: Solve for x
    x = 233,519,863.96/21,902.94
  6. Step 6: Final answer
    x = 10,661.58

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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.