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Finding the Fourth Proportional to 28,892.12, 43,339.80 and 8,114

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Solution

The fourth proportional to 28,892.12, 43,339.80 and 8,114 is: 12,171.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,892.12 : 43,339.80 = 8,114 : x
  2. Step 2: Convert to fraction form
    28,892.12/43,339.80 = 8,114/x
  3. Step 3: Cross multiply
    28,892.12x = 43,339.80 × 8,114
  4. Step 4: Simplify right side
    28,892.12x = 351,659,137.20
  5. Step 5: Solve for x
    x = 351,659,137.20/28,892.12
  6. Step 6: Final answer
    x = 12,171.45

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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.