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Finding the Fourth Proportional to 20,321.40, 30,438.90 and 16,865.40

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Solution

The fourth proportional to 20,321.40, 30,438.90 and 16,865.40 is: 25,262.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,321.40 : 30,438.90 = 16,865.40 : x
  2. Step 2: Convert to fraction form
    20,321.40/30,438.90 = 16,865.40/x
  3. Step 3: Cross multiply
    20,321.40x = 30,438.90 × 16,865.40
  4. Step 4: Simplify right side
    20,321.40x = 513,364,224.06
  5. Step 5: Solve for x
    x = 513,364,224.06/20,321.40
  6. Step 6: Final answer
    x = 25,262.25

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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.