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Finding the Fourth Proportional to 21,412.80, 32,119.20 and 20,975.40

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Solution

The fourth proportional to 21,412.80, 32,119.20 and 20,975.40 is: 31,463.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,412.80 : 32,119.20 = 20,975.40 : x
  2. Step 2: Convert to fraction form
    21,412.80/32,119.20 = 20,975.40/x
  3. Step 3: Cross multiply
    21,412.80x = 32,119.20 × 20,975.40
  4. Step 4: Simplify right side
    21,412.80x = 673,713,067.68
  5. Step 5: Solve for x
    x = 673,713,067.68/21,412.80
  6. Step 6: Final answer
    x = 31,463.10

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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.