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Finding the Fourth Proportional to 7,690.95, 11,523.43 and 4,723.20

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Solution

The fourth proportional to 7,690.95, 11,523.43 and 4,723.20 is: 7,076.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,690.95 : 11,523.43 = 4,723.20 : x
  2. Step 2: Convert to fraction form
    7,690.95/11,523.43 = 4,723.20/x
  3. Step 3: Cross multiply
    7,690.95x = 11,523.43 × 4,723.20
  4. Step 4: Simplify right side
    7,690.95x = 54,427,493.38
  5. Step 5: Solve for x
    x = 54,427,493.38/7,690.95
  6. Step 6: Final answer
    x = 7,076.83

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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.