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Finding the Fourth Proportional to 11,810.16, 16,305.86 and 7,340.58

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Solution

The fourth proportional to 11,810.16, 16,305.86 and 7,340.58 is: 10,134.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,810.16 : 16,305.86 = 7,340.58 : x
  2. Step 2: Convert to fraction form
    11,810.16/16,305.86 = 7,340.58/x
  3. Step 3: Cross multiply
    11,810.16x = 16,305.86 × 7,340.58
  4. Step 4: Simplify right side
    11,810.16x = 119,694,469.80
  5. Step 5: Solve for x
    x = 119,694,469.80/11,810.16
  6. Step 6: Final answer
    x = 10,134.87

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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.