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Finding the Fourth Proportional to 11,847.46, 16,349.18 and 7,809.34

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Solution

The fourth proportional to 11,847.46, 16,349.18 and 7,809.34 is: 10,776.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.46 : 16,349.18 = 7,809.34 : x
  2. Step 2: Convert to fraction form
    11,847.46/16,349.18 = 7,809.34/x
  3. Step 3: Cross multiply
    11,847.46x = 16,349.18 × 7,809.34
  4. Step 4: Simplify right side
    11,847.46x = 127,676,305.34
  5. Step 5: Solve for x
    x = 127,676,305.34/11,847.46
  6. Step 6: Final answer
    x = 10,776.68

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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.