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Finding the Fourth Proportional to 20,594.80, 30,892.20 and 10,205.20

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Solution

The fourth proportional to 20,594.80, 30,892.20 and 10,205.20 is: 15,307.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,594.80 : 30,892.20 = 10,205.20 : x
  2. Step 2: Convert to fraction form
    20,594.80/30,892.20 = 10,205.20/x
  3. Step 3: Cross multiply
    20,594.80x = 30,892.20 × 10,205.20
  4. Step 4: Simplify right side
    20,594.80x = 315,261,079.44
  5. Step 5: Solve for x
    x = 315,261,079.44/20,594.80
  6. Step 6: Final answer
    x = 15,307.80

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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.