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Finding the Fourth Proportional to 20,031.40, 30,003.90 and 12,255.40

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Solution

The fourth proportional to 20,031.40, 30,003.90 and 12,255.40 is: 18,356.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,031.40 : 30,003.90 = 12,255.40 : x
  2. Step 2: Convert to fraction form
    20,031.40/30,003.90 = 12,255.40/x
  3. Step 3: Cross multiply
    20,031.40x = 30,003.90 × 12,255.40
  4. Step 4: Simplify right side
    20,031.40x = 367,709,796.06
  5. Step 5: Solve for x
    x = 367,709,796.06/20,031.40
  6. Step 6: Final answer
    x = 18,356.67

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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.