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Finding the Fourth Proportional to 28,977, 43,467.84 and 8,200.68

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Solution

The fourth proportional to 28,977, 43,467.84 and 8,200.68 is: 12,301.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,977 : 43,467.84 = 8,200.68 : x
  2. Step 2: Convert to fraction form
    28,977/43,467.84 = 8,200.68/x
  3. Step 3: Cross multiply
    28,977x = 43,467.84 × 8,200.68
  4. Step 4: Simplify right side
    28,977x = 356,465,846.13
  5. Step 5: Solve for x
    x = 356,465,846.13/28,977
  6. Step 6: Final answer
    x = 12,301.68

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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.