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Finding the Fourth Proportional to 20,142.84, 30,180.84 and 12,335.25

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Solution

The fourth proportional to 20,142.84, 30,180.84 and 12,335.25 is: 18,482.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,142.84 : 30,180.84 = 12,335.25 : x
  2. Step 2: Convert to fraction form
    20,142.84/30,180.84 = 12,335.25/x
  3. Step 3: Cross multiply
    20,142.84x = 30,180.84 × 12,335.25
  4. Step 4: Simplify right side
    20,142.84x = 372,288,206.61
  5. Step 5: Solve for x
    x = 372,288,206.61/20,142.84
  6. Step 6: Final answer
    x = 18,482.41

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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.