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Finding the Fourth Proportional to 11,505, 15,876.90 and 6,537

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Solution

The fourth proportional to 11,505, 15,876.90 and 6,537 is: 9,021.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,505 : 15,876.90 = 6,537 : x
  2. Step 2: Convert to fraction form
    11,505/15,876.90 = 6,537/x
  3. Step 3: Cross multiply
    11,505x = 15,876.90 × 6,537
  4. Step 4: Simplify right side
    11,505x = 103,787,295.30
  5. Step 5: Solve for x
    x = 103,787,295.30/11,505
  6. Step 6: Final answer
    x = 9,021.06

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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.