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Finding the Fourth Proportional to 11,651.46, 16,080.30 and 7,174.32

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Solution

The fourth proportional to 11,651.46, 16,080.30 and 7,174.32 is: 9,901.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,651.46 : 16,080.30 = 7,174.32 : x
  2. Step 2: Convert to fraction form
    11,651.46/16,080.30 = 7,174.32/x
  3. Step 3: Cross multiply
    11,651.46x = 16,080.30 × 7,174.32
  4. Step 4: Simplify right side
    11,651.46x = 115,365,217.90
  5. Step 5: Solve for x
    x = 115,365,217.90/11,651.46
  6. Step 6: Final answer
    x = 9,901.35

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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.