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Finding the Fourth Proportional to 20,107.80, 30,165.06 and 8,421.90

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Solution

The fourth proportional to 20,107.80, 30,165.06 and 8,421.90 is: 12,634.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,107.80 : 30,165.06 = 8,421.90 : x
  2. Step 2: Convert to fraction form
    20,107.80/30,165.06 = 8,421.90/x
  3. Step 3: Cross multiply
    20,107.80x = 30,165.06 × 8,421.90
  4. Step 4: Simplify right side
    20,107.80x = 254,047,118.81
  5. Step 5: Solve for x
    x = 254,047,118.81/20,107.80
  6. Step 6: Final answer
    x = 12,634.26

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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.