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Finding the Fourth Proportional to 7,687.89, 11,541.56 and 6,540.93

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Solution

The fourth proportional to 7,687.89, 11,541.56 and 6,540.93 is: 9,819.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.89 : 11,541.56 = 6,540.93 : x
  2. Step 2: Convert to fraction form
    7,687.89/11,541.56 = 6,540.93/x
  3. Step 3: Cross multiply
    7,687.89x = 11,541.56 × 6,540.93
  4. Step 4: Simplify right side
    7,687.89x = 75,492,503.35
  5. Step 5: Solve for x
    x = 75,492,503.35/7,687.89
  6. Step 6: Final answer
    x = 9,819.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.