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Finding the Fourth Proportional to 18,471.20, 27,706.80 and 5,322.40

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Solution

The fourth proportional to 18,471.20, 27,706.80 and 5,322.40 is: 7,983.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,471.20 : 27,706.80 = 5,322.40 : x
  2. Step 2: Convert to fraction form
    18,471.20/27,706.80 = 5,322.40/x
  3. Step 3: Cross multiply
    18,471.20x = 27,706.80 × 5,322.40
  4. Step 4: Simplify right side
    18,471.20x = 147,466,672.32
  5. Step 5: Solve for x
    x = 147,466,672.32/18,471.20
  6. Step 6: Final answer
    x = 7,983.60

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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.