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Finding the Fourth Proportional to 28,311, 42,466.62 and 8,589.74

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Solution

The fourth proportional to 28,311, 42,466.62 and 8,589.74 is: 12,884.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,311 : 42,466.62 = 8,589.74 : x
  2. Step 2: Convert to fraction form
    28,311/42,466.62 = 8,589.74/x
  3. Step 3: Cross multiply
    28,311x = 42,466.62 × 8,589.74
  4. Step 4: Simplify right side
    28,311x = 364,777,224.48
  5. Step 5: Solve for x
    x = 364,777,224.48/28,311
  6. Step 6: Final answer
    x = 12,884.65

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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.