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Finding the Fourth Proportional to 8,672.78, 11,968.42 and 4,693.86

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Solution

The fourth proportional to 8,672.78, 11,968.42 and 4,693.86 is: 6,477.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,672.78 : 11,968.42 = 4,693.86 : x
  2. Step 2: Convert to fraction form
    8,672.78/11,968.42 = 4,693.86/x
  3. Step 3: Cross multiply
    8,672.78x = 11,968.42 × 4,693.86
  4. Step 4: Simplify right side
    8,672.78x = 56,178,087.90
  5. Step 5: Solve for x
    x = 56,178,087.90/8,672.78
  6. Step 6: Final answer
    x = 6,477.52

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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.