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Finding the Fourth Proportional to 8,647.76, 12,974.68 and 4,268.32

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Solution

The fourth proportional to 8,647.76, 12,974.68 and 4,268.32 is: 6,403.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,647.76 : 12,974.68 = 4,268.32 : x
  2. Step 2: Convert to fraction form
    8,647.76/12,974.68 = 4,268.32/x
  3. Step 3: Cross multiply
    8,647.76x = 12,974.68 × 4,268.32
  4. Step 4: Simplify right side
    8,647.76x = 55,380,086.14
  5. Step 5: Solve for x
    x = 55,380,086.14/8,647.76
  6. Step 6: Final answer
    x = 6,403.98

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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.