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Finding the Fourth Proportional to 11,605.36, 15,997.24 and 9,713.61

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Solution

The fourth proportional to 11,605.36, 15,997.24 and 9,713.61 is: 13,389.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,605.36 : 15,997.24 = 9,713.61 : x
  2. Step 2: Convert to fraction form
    11,605.36/15,997.24 = 9,713.61/x
  3. Step 3: Cross multiply
    11,605.36x = 15,997.24 × 9,713.61
  4. Step 4: Simplify right side
    11,605.36x = 155,390,950.44
  5. Step 5: Solve for x
    x = 155,390,950.44/11,605.36
  6. Step 6: Final answer
    x = 13,389.58

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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.