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Finding the Fourth Proportional to 11,935.98, 16,466.36 and 7,953.21

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Solution

The fourth proportional to 11,935.98, 16,466.36 and 7,953.21 is: 10,971.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,935.98 : 16,466.36 = 7,953.21 : x
  2. Step 2: Convert to fraction form
    11,935.98/16,466.36 = 7,953.21/x
  3. Step 3: Cross multiply
    11,935.98x = 16,466.36 × 7,953.21
  4. Step 4: Simplify right side
    11,935.98x = 130,960,379.25
  5. Step 5: Solve for x
    x = 130,960,379.25/11,935.98
  6. Step 6: Final answer
    x = 10,971.90

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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.