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Finding the Fourth Proportional to 13,546.60, 20,311.80 and 6,985.60

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Solution

The fourth proportional to 13,546.60, 20,311.80 and 6,985.60 is: 10,474.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,546.60 : 20,311.80 = 6,985.60 : x
  2. Step 2: Convert to fraction form
    13,546.60/20,311.80 = 6,985.60/x
  3. Step 3: Cross multiply
    13,546.60x = 20,311.80 × 6,985.60
  4. Step 4: Simplify right side
    13,546.60x = 141,890,110.08
  5. Step 5: Solve for x
    x = 141,890,110.08/13,546.60
  6. Step 6: Final answer
    x = 10,474.22

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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.