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Finding the Fourth Proportional to 18,521.40, 27,785.70 and 7,991.40

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Solution

The fourth proportional to 18,521.40, 27,785.70 and 7,991.40 is: 11,988.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,521.40 : 27,785.70 = 7,991.40 : x
  2. Step 2: Convert to fraction form
    18,521.40/27,785.70 = 7,991.40/x
  3. Step 3: Cross multiply
    18,521.40x = 27,785.70 × 7,991.40
  4. Step 4: Simplify right side
    18,521.40x = 222,046,642.98
  5. Step 5: Solve for x
    x = 222,046,642.98/18,521.40
  6. Step 6: Final answer
    x = 11,988.65

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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.