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Finding the Fourth Proportional to 8,656.40, 12,982.40 and 2,814.68

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Solution

The fourth proportional to 8,656.40, 12,982.40 and 2,814.68 is: 4,221.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,656.40 : 12,982.40 = 2,814.68 : x
  2. Step 2: Convert to fraction form
    8,656.40/12,982.40 = 2,814.68/x
  3. Step 3: Cross multiply
    8,656.40x = 12,982.40 × 2,814.68
  4. Step 4: Simplify right side
    8,656.40x = 36,541,301.63
  5. Step 5: Solve for x
    x = 36,541,301.63/8,656.40
  6. Step 6: Final answer
    x = 4,221.30

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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.