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Finding the Fourth Proportional to 8,675.66, 11,974.29 and 5,654.57

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Solution

The fourth proportional to 8,675.66, 11,974.29 and 5,654.57 is: 7,804.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,675.66 : 11,974.29 = 5,654.57 : x
  2. Step 2: Convert to fraction form
    8,675.66/11,974.29 = 5,654.57/x
  3. Step 3: Cross multiply
    8,675.66x = 11,974.29 × 5,654.57
  4. Step 4: Simplify right side
    8,675.66x = 67,709,401.13
  5. Step 5: Solve for x
    x = 67,709,401.13/8,675.66
  6. Step 6: Final answer
    x = 7,804.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.