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Finding the Fourth Proportional to 18,471.80, 27,711.30 and 7,941.80

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Solution

The fourth proportional to 18,471.80, 27,711.30 and 7,941.80 is: 11,914.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,471.80 : 27,711.30 = 7,941.80 : x
  2. Step 2: Convert to fraction form
    18,471.80/27,711.30 = 7,941.80/x
  3. Step 3: Cross multiply
    18,471.80x = 27,711.30 × 7,941.80
  4. Step 4: Simplify right side
    18,471.80x = 220,077,602.34
  5. Step 5: Solve for x
    x = 220,077,602.34/18,471.80
  6. Step 6: Final answer
    x = 11,914.25

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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.