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Finding the Fourth Proportional to 28,310.28, 42,465.51 and 8,589

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Solution

The fourth proportional to 28,310.28, 42,465.51 and 8,589 is: 12,883.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,310.28 : 42,465.51 = 8,589 : x
  2. Step 2: Convert to fraction form
    28,310.28/42,465.51 = 8,589/x
  3. Step 3: Cross multiply
    28,310.28x = 42,465.51 × 8,589
  4. Step 4: Simplify right side
    28,310.28x = 364,736,265.39
  5. Step 5: Solve for x
    x = 364,736,265.39/28,310.28
  6. Step 6: Final answer
    x = 12,883.53

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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.