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Finding the Fourth Proportional to 13,182.70, 19,770.95 and 3,820.25

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Solution

The fourth proportional to 13,182.70, 19,770.95 and 3,820.25 is: 5,729.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,182.70 : 19,770.95 = 3,820.25 : x
  2. Step 2: Convert to fraction form
    13,182.70/19,770.95 = 3,820.25/x
  3. Step 3: Cross multiply
    13,182.70x = 19,770.95 × 3,820.25
  4. Step 4: Simplify right side
    13,182.70x = 75,529,903.21
  5. Step 5: Solve for x
    x = 75,529,903.21/13,182.70
  6. Step 6: Final answer
    x = 5,729.47

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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.