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Finding the Fourth Proportional to 9,187.77, 12,676 and 6,354.09

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Solution

The fourth proportional to 9,187.77, 12,676 and 6,354.09 is: 8,766.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,187.77 : 12,676 = 6,354.09 : x
  2. Step 2: Convert to fraction form
    9,187.77/12,676 = 6,354.09/x
  3. Step 3: Cross multiply
    9,187.77x = 12,676 × 6,354.09
  4. Step 4: Simplify right side
    9,187.77x = 80,544,444.84
  5. Step 5: Solve for x
    x = 80,544,444.84/9,187.77
  6. Step 6: Final answer
    x = 8,766.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.