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Finding the Fourth Proportional to 21,857.90, 32,786.07 and 7,066.43

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Solution

The fourth proportional to 21,857.90, 32,786.07 and 7,066.43 is: 10,599.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,857.90 : 32,786.07 = 7,066.43 : x
  2. Step 2: Convert to fraction form
    21,857.90/32,786.07 = 7,066.43/x
  3. Step 3: Cross multiply
    21,857.90x = 32,786.07 × 7,066.43
  4. Step 4: Simplify right side
    21,857.90x = 231,680,304.70
  5. Step 5: Solve for x
    x = 231,680,304.70/21,857.90
  6. Step 6: Final answer
    x = 10,599.39

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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.