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Finding the Fourth Proportional to 30,942.83, 42,701.78 and 17,514.09

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Solution

The fourth proportional to 30,942.83, 42,701.78 and 17,514.09 is: 24,169.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,942.83 : 42,701.78 = 17,514.09 : x
  2. Step 2: Convert to fraction form
    30,942.83/42,701.78 = 17,514.09/x
  3. Step 3: Cross multiply
    30,942.83x = 42,701.78 × 17,514.09
  4. Step 4: Simplify right side
    30,942.83x = 747,882,730.51
  5. Step 5: Solve for x
    x = 747,882,730.51/30,942.83
  6. Step 6: Final answer
    x = 24,169.83

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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.