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Finding the Fourth Proportional to 20,215, 30,282.90 and 10,325.08

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Solution

The fourth proportional to 20,215, 30,282.90 and 10,325.08 is: 15,467.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,215 : 30,282.90 = 10,325.08 : x
  2. Step 2: Convert to fraction form
    20,215/30,282.90 = 10,325.08/x
  3. Step 3: Cross multiply
    20,215x = 30,282.90 × 10,325.08
  4. Step 4: Simplify right side
    20,215x = 312,673,365.13
  5. Step 5: Solve for x
    x = 312,673,365.13/20,215
  6. Step 6: Final answer
    x = 15,467.39

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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.