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Finding the Fourth Proportional to 20,466.91, 30,693.84 and 7,983.90

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Solution

The fourth proportional to 20,466.91, 30,693.84 and 7,983.90 is: 11,973.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,466.91 : 30,693.84 = 7,983.90 : x
  2. Step 2: Convert to fraction form
    20,466.91/30,693.84 = 7,983.90/x
  3. Step 3: Cross multiply
    20,466.91x = 30,693.84 × 7,983.90
  4. Step 4: Simplify right side
    20,466.91x = 245,056,519.24
  5. Step 5: Solve for x
    x = 245,056,519.24/20,466.91
  6. Step 6: Final answer
    x = 11,973.30

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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.