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Finding the Fourth Proportional to 13,482, 20,223.05 and 4,121.98

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Solution

The fourth proportional to 13,482, 20,223.05 and 4,121.98 is: 6,182.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,482 : 20,223.05 = 4,121.98 : x
  2. Step 2: Convert to fraction form
    13,482/20,223.05 = 4,121.98/x
  3. Step 3: Cross multiply
    13,482x = 20,223.05 × 4,121.98
  4. Step 4: Simplify right side
    13,482x = 83,359,007.64
  5. Step 5: Solve for x
    x = 83,359,007.64/13,482
  6. Step 6: Final answer
    x = 6,182.99

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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.