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Finding the Fourth Proportional to 11,462.85, 17,180.40 and 5,214.29

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Solution

The fourth proportional to 11,462.85, 17,180.40 and 5,214.29 is: 7,815.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,462.85 : 17,180.40 = 5,214.29 : x
  2. Step 2: Convert to fraction form
    11,462.85/17,180.40 = 5,214.29/x
  3. Step 3: Cross multiply
    11,462.85x = 17,180.40 × 5,214.29
  4. Step 4: Simplify right side
    11,462.85x = 89,583,618.21
  5. Step 5: Solve for x
    x = 89,583,618.21/11,462.85
  6. Step 6: Final answer
    x = 7,815.13

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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.