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Finding the Fourth Proportional to 7,677.24, 11,522.13 and 3,980.58

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Solution

The fourth proportional to 7,677.24, 11,522.13 and 3,980.58 is: 5,974.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.24 : 11,522.13 = 3,980.58 : x
  2. Step 2: Convert to fraction form
    7,677.24/11,522.13 = 3,980.58/x
  3. Step 3: Cross multiply
    7,677.24x = 11,522.13 × 3,980.58
  4. Step 4: Simplify right side
    7,677.24x = 45,864,760.24
  5. Step 5: Solve for x
    x = 45,864,760.24/7,677.24
  6. Step 6: Final answer
    x = 5,974.12

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