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Finding the Fourth Proportional to 11,858.49, 16,372.35 and 7,611.38

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Solution

The fourth proportional to 11,858.49, 16,372.35 and 7,611.38 is: 10,508.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,858.49 : 16,372.35 = 7,611.38 : x
  2. Step 2: Convert to fraction form
    11,858.49/16,372.35 = 7,611.38/x
  3. Step 3: Cross multiply
    11,858.49x = 16,372.35 × 7,611.38
  4. Step 4: Simplify right side
    11,858.49x = 124,616,177.34
  5. Step 5: Solve for x
    x = 124,616,177.34/11,858.49
  6. Step 6: Final answer
    x = 10,508.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.