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Finding the Fourth Proportional to 12,776.10, 17,630.83 and 7,187.10

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Solution

The fourth proportional to 12,776.10, 17,630.83 and 7,187.10 is: 9,918.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,776.10 : 17,630.83 = 7,187.10 : x
  2. Step 2: Convert to fraction form
    12,776.10/17,630.83 = 7,187.10/x
  3. Step 3: Cross multiply
    12,776.10x = 17,630.83 × 7,187.10
  4. Step 4: Simplify right side
    12,776.10x = 126,714,538.29
  5. Step 5: Solve for x
    x = 126,714,538.29/12,776.10
  6. Step 6: Final answer
    x = 9,918.09

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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.