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Finding the Fourth Proportional to 18,642.22, 27,963.29 and 5,494.70

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Solution

The fourth proportional to 18,642.22, 27,963.29 and 5,494.70 is: 8,242.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,642.22 : 27,963.29 = 5,494.70 : x
  2. Step 2: Convert to fraction form
    18,642.22/27,963.29 = 5,494.70/x
  3. Step 3: Cross multiply
    18,642.22x = 27,963.29 × 5,494.70
  4. Step 4: Simplify right side
    18,642.22x = 153,649,973.21
  5. Step 5: Solve for x
    x = 153,649,973.21/18,642.22
  6. Step 6: Final answer
    x = 8,242.04

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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.