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Finding the Fourth Proportional to 7,811.97, 11,690.01 and 7,290.60

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Solution

The fourth proportional to 7,811.97, 11,690.01 and 7,290.60 is: 10,909.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.97 : 11,690.01 = 7,290.60 : x
  2. Step 2: Convert to fraction form
    7,811.97/11,690.01 = 7,290.60/x
  3. Step 3: Cross multiply
    7,811.97x = 11,690.01 × 7,290.60
  4. Step 4: Simplify right side
    7,811.97x = 85,227,186.91
  5. Step 5: Solve for x
    x = 85,227,186.91/7,811.97
  6. Step 6: Final answer
    x = 10,909.82

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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.