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Finding the Fourth Proportional to 20,689.20, 30,984.21 and 11,315.16

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Solution

The fourth proportional to 20,689.20, 30,984.21 and 11,315.16 is: 16,945.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,689.20 : 30,984.21 = 11,315.16 : x
  2. Step 2: Convert to fraction form
    20,689.20/30,984.21 = 11,315.16/x
  3. Step 3: Cross multiply
    20,689.20x = 30,984.21 × 11,315.16
  4. Step 4: Simplify right side
    20,689.20x = 350,591,293.62
  5. Step 5: Solve for x
    x = 350,591,293.62/20,689.20
  6. Step 6: Final answer
    x = 16,945.62

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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.