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Finding the Fourth Proportional to 8,503.04, 12,747.68 and 2,656.64

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Solution

The fourth proportional to 8,503.04, 12,747.68 and 2,656.64 is: 3,982.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,503.04 : 12,747.68 = 2,656.64 : x
  2. Step 2: Convert to fraction form
    8,503.04/12,747.68 = 2,656.64/x
  3. Step 3: Cross multiply
    8,503.04x = 12,747.68 × 2,656.64
  4. Step 4: Simplify right side
    8,503.04x = 33,865,996.60
  5. Step 5: Solve for x
    x = 33,865,996.60/8,503.04
  6. Step 6: Final answer
    x = 3,982.81

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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.