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Finding the Fourth Proportional to 11,783.86, 16,261.82 and 6,406.30

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Solution

The fourth proportional to 11,783.86, 16,261.82 and 6,406.30 is: 8,840.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.86 : 16,261.82 = 6,406.30 : x
  2. Step 2: Convert to fraction form
    11,783.86/16,261.82 = 6,406.30/x
  3. Step 3: Cross multiply
    11,783.86x = 16,261.82 × 6,406.30
  4. Step 4: Simplify right side
    11,783.86x = 104,178,016.16
  5. Step 5: Solve for x
    x = 104,178,016.16/11,783.86
  6. Step 6: Final answer
    x = 8,840.74

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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.