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Finding the Fourth Proportional to 20,477.50, 30,720.57 and 8,165.50

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Solution

The fourth proportional to 20,477.50, 30,720.57 and 8,165.50 is: 12,249.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,477.50 : 30,720.57 = 8,165.50 : x
  2. Step 2: Convert to fraction form
    20,477.50/30,720.57 = 8,165.50/x
  3. Step 3: Cross multiply
    20,477.50x = 30,720.57 × 8,165.50
  4. Step 4: Simplify right side
    20,477.50x = 250,848,814.34
  5. Step 5: Solve for x
    x = 250,848,814.34/20,477.50
  6. Step 6: Final answer
    x = 12,249.97

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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.