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Finding the Fourth Proportional to 28,782, 43,175.64 and 8,005.68

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Solution

The fourth proportional to 28,782, 43,175.64 and 8,005.68 is: 12,009.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,782 : 43,175.64 = 8,005.68 : x
  2. Step 2: Convert to fraction form
    28,782/43,175.64 = 8,005.68/x
  3. Step 3: Cross multiply
    28,782x = 43,175.64 × 8,005.68
  4. Step 4: Simplify right side
    28,782x = 345,650,357.64
  5. Step 5: Solve for x
    x = 345,650,357.64/28,782
  6. Step 6: Final answer
    x = 12,009.25

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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.