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Finding the Fourth Proportional to 23,790.39, 32,830.71 and 13,180.71

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Solution

The fourth proportional to 23,790.39, 32,830.71 and 13,180.71 is: 18,189.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,790.39 : 32,830.71 = 13,180.71 : x
  2. Step 2: Convert to fraction form
    23,790.39/32,830.71 = 13,180.71/x
  3. Step 3: Cross multiply
    23,790.39x = 32,830.71 × 13,180.71
  4. Step 4: Simplify right side
    23,790.39x = 432,732,067.60
  5. Step 5: Solve for x
    x = 432,732,067.60/23,790.39
  6. Step 6: Final answer
    x = 18,189.36

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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.