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Finding the Fourth Proportional to 13,583.98, 20,378.90 and 4,223.82

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Solution

The fourth proportional to 13,583.98, 20,378.90 and 4,223.82 is: 6,336.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,583.98 : 20,378.90 = 4,223.82 : x
  2. Step 2: Convert to fraction form
    13,583.98/20,378.90 = 4,223.82/x
  3. Step 3: Cross multiply
    13,583.98x = 20,378.90 × 4,223.82
  4. Step 4: Simplify right side
    13,583.98x = 86,076,815.96
  5. Step 5: Solve for x
    x = 86,076,815.96/13,583.98
  6. Step 6: Final answer
    x = 6,336.64

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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.