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Finding the Fourth Proportional to 20,820.80, 31,238.40 and 20,100.80

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Solution

The fourth proportional to 20,820.80, 31,238.40 and 20,100.80 is: 30,158.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,820.80 : 31,238.40 = 20,100.80 : x
  2. Step 2: Convert to fraction form
    20,820.80/31,238.40 = 20,100.80/x
  3. Step 3: Cross multiply
    20,820.80x = 31,238.40 × 20,100.80
  4. Step 4: Simplify right side
    20,820.80x = 627,916,830.72
  5. Step 5: Solve for x
    x = 627,916,830.72/20,820.80
  6. Step 6: Final answer
    x = 30,158.15

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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.