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Finding the Fourth Proportional to 20,507.85, 30,749.49 and 8,013.24

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Solution

The fourth proportional to 20,507.85, 30,749.49 and 8,013.24 is: 12,015.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,507.85 : 30,749.49 = 8,013.24 : x
  2. Step 2: Convert to fraction form
    20,507.85/30,749.49 = 8,013.24/x
  3. Step 3: Cross multiply
    20,507.85x = 30,749.49 × 8,013.24
  4. Step 4: Simplify right side
    20,507.85x = 246,403,043.25
  5. Step 5: Solve for x
    x = 246,403,043.25/20,507.85
  6. Step 6: Final answer
    x = 12,015.06

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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.