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Finding the Fourth Proportional to 8,672.83, 11,968.50 and 4,693.96

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Solution

The fourth proportional to 8,672.83, 11,968.50 and 4,693.96 is: 6,477.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,672.83 : 11,968.50 = 4,693.96 : x
  2. Step 2: Convert to fraction form
    8,672.83/11,968.50 = 4,693.96/x
  3. Step 3: Cross multiply
    8,672.83x = 11,968.50 × 4,693.96
  4. Step 4: Simplify right side
    8,672.83x = 56,179,660.26
  5. Step 5: Solve for x
    x = 56,179,660.26/8,672.83
  6. Step 6: Final answer
    x = 6,477.66

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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.