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Finding the Fourth Proportional to 11,705.88, 17,563.43 and 5,127.45

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Solution

The fourth proportional to 11,705.88, 17,563.43 and 5,127.45 is: 7,693.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705.88 : 17,563.43 = 5,127.45 : x
  2. Step 2: Convert to fraction form
    11,705.88/17,563.43 = 5,127.45/x
  3. Step 3: Cross multiply
    11,705.88x = 17,563.43 × 5,127.45
  4. Step 4: Simplify right side
    11,705.88x = 90,055,654.90
  5. Step 5: Solve for x
    x = 90,055,654.90/11,705.88
  6. Step 6: Final answer
    x = 7,693.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.