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Finding the Fourth Proportional to 21,311.80, 31,955.70 and 8,164.60

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Solution

The fourth proportional to 21,311.80, 31,955.70 and 8,164.60 is: 12,242.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,311.80 : 31,955.70 = 8,164.60 : x
  2. Step 2: Convert to fraction form
    21,311.80/31,955.70 = 8,164.60/x
  3. Step 3: Cross multiply
    21,311.80x = 31,955.70 × 8,164.60
  4. Step 4: Simplify right side
    21,311.80x = 260,905,508.22
  5. Step 5: Solve for x
    x = 260,905,508.22/21,311.80
  6. Step 6: Final answer
    x = 12,242.30

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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.