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Finding the Fourth Proportional to 8,474.31, 12,699.34 and 4,768.77

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Solution

The fourth proportional to 8,474.31, 12,699.34 and 4,768.77 is: 7,146.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474.31 : 12,699.34 = 4,768.77 : x
  2. Step 2: Convert to fraction form
    8,474.31/12,699.34 = 4,768.77/x
  3. Step 3: Cross multiply
    8,474.31x = 12,699.34 × 4,768.77
  4. Step 4: Simplify right side
    8,474.31x = 60,560,231.61
  5. Step 5: Solve for x
    x = 60,560,231.61/8,474.31
  6. Step 6: Final answer
    x = 7,146.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.