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Finding the Fourth Proportional to 18,577.40, 27,869.70 and 8,047.40

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Solution

The fourth proportional to 18,577.40, 27,869.70 and 8,047.40 is: 12,072.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,577.40 : 27,869.70 = 8,047.40 : x
  2. Step 2: Convert to fraction form
    18,577.40/27,869.70 = 8,047.40/x
  3. Step 3: Cross multiply
    18,577.40x = 27,869.70 × 8,047.40
  4. Step 4: Simplify right side
    18,577.40x = 224,278,623.78
  5. Step 5: Solve for x
    x = 224,278,623.78/18,577.40
  6. Step 6: Final answer
    x = 12,072.66

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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.