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Finding the Fourth Proportional to 18,287.80, 27,431.70 and 12,382.90

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Solution

The fourth proportional to 18,287.80, 27,431.70 and 12,382.90 is: 18,574.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,287.80 : 27,431.70 = 12,382.90 : x
  2. Step 2: Convert to fraction form
    18,287.80/27,431.70 = 12,382.90/x
  3. Step 3: Cross multiply
    18,287.80x = 27,431.70 × 12,382.90
  4. Step 4: Simplify right side
    18,287.80x = 339,683,997.93
  5. Step 5: Solve for x
    x = 339,683,997.93/18,287.80
  6. Step 6: Final answer
    x = 18,574.35

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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.