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Finding the Fourth Proportional to 11,508.50, 15,881.76 and 6,540.50

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Solution

The fourth proportional to 11,508.50, 15,881.76 and 6,540.50 is: 9,025.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,508.50 : 15,881.76 = 6,540.50 : x
  2. Step 2: Convert to fraction form
    11,508.50/15,881.76 = 6,540.50/x
  3. Step 3: Cross multiply
    11,508.50x = 15,881.76 × 6,540.50
  4. Step 4: Simplify right side
    11,508.50x = 103,874,651.28
  5. Step 5: Solve for x
    x = 103,874,651.28/11,508.50
  6. Step 6: Final answer
    x = 9,025.91

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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.