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Finding the Fourth Proportional to 12,846.56, 17,726.54 and 7,181.08

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Solution

The fourth proportional to 12,846.56, 17,726.54 and 7,181.08 is: 9,908.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846.56 : 17,726.54 = 7,181.08 : x
  2. Step 2: Convert to fraction form
    12,846.56/17,726.54 = 7,181.08/x
  3. Step 3: Cross multiply
    12,846.56x = 17,726.54 × 7,181.08
  4. Step 4: Simplify right side
    12,846.56x = 127,295,621.64
  5. Step 5: Solve for x
    x = 127,295,621.64/12,846.56
  6. Step 6: Final answer
    x = 9,908.93

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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.