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Finding the Fourth Proportional to 31,656.64, 43,686.08 and 18,223

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Solution

The fourth proportional to 31,656.64, 43,686.08 and 18,223 is: 25,147.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,656.64 : 43,686.08 = 18,223 : x
  2. Step 2: Convert to fraction form
    31,656.64/43,686.08 = 18,223/x
  3. Step 3: Cross multiply
    31,656.64x = 43,686.08 × 18,223
  4. Step 4: Simplify right side
    31,656.64x = 796,091,435.84
  5. Step 5: Solve for x
    x = 796,091,435.84/31,656.64
  6. Step 6: Final answer
    x = 25,147.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.