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Finding the Fourth Proportional to 20,673.90, 31,023 and 8,195.16

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Solution

The fourth proportional to 20,673.90, 31,023 and 8,195.16 is: 12,297.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,673.90 : 31,023 = 8,195.16 : x
  2. Step 2: Convert to fraction form
    20,673.90/31,023 = 8,195.16/x
  3. Step 3: Cross multiply
    20,673.90x = 31,023 × 8,195.16
  4. Step 4: Simplify right side
    20,673.90x = 254,238,448.68
  5. Step 5: Solve for x
    x = 254,238,448.68/20,673.90
  6. Step 6: Final answer
    x = 12,297.56

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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.