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Finding the Fourth Proportional to 12,780.50, 17,637.09 and 7,191.62

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Solution

The fourth proportional to 12,780.50, 17,637.09 and 7,191.62 is: 9,924.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,780.50 : 17,637.09 = 7,191.62 : x
  2. Step 2: Convert to fraction form
    12,780.50/17,637.09 = 7,191.62/x
  3. Step 3: Cross multiply
    12,780.50x = 17,637.09 × 7,191.62
  4. Step 4: Simplify right side
    12,780.50x = 126,839,249.19
  5. Step 5: Solve for x
    x = 126,839,249.19/12,780.50
  6. Step 6: Final answer
    x = 9,924.44

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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.