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Finding the Fourth Proportional to 18,532.56, 27,798.84 and 8,143.56

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Solution

The fourth proportional to 18,532.56, 27,798.84 and 8,143.56 is: 12,215.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,532.56 : 27,798.84 = 8,143.56 : x
  2. Step 2: Convert to fraction form
    18,532.56/27,798.84 = 8,143.56/x
  3. Step 3: Cross multiply
    18,532.56x = 27,798.84 × 8,143.56
  4. Step 4: Simplify right side
    18,532.56x = 226,381,521.47
  5. Step 5: Solve for x
    x = 226,381,521.47/18,532.56
  6. Step 6: Final answer
    x = 12,215.34

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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.