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Finding the Fourth Proportional to 8,473.98, 12,708.54 and 3,278.64

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Solution

The fourth proportional to 8,473.98, 12,708.54 and 3,278.64 is: 4,917.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,473.98 : 12,708.54 = 3,278.64 : x
  2. Step 2: Convert to fraction form
    8,473.98/12,708.54 = 3,278.64/x
  3. Step 3: Cross multiply
    8,473.98x = 12,708.54 × 3,278.64
  4. Step 4: Simplify right side
    8,473.98x = 41,666,727.59
  5. Step 5: Solve for x
    x = 41,666,727.59/8,473.98
  6. Step 6: Final answer
    x = 4,917.02

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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.