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Finding the Fourth Proportional to 28,580.76, 42,869.48 and 8,589.82

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Solution

The fourth proportional to 28,580.76, 42,869.48 and 8,589.82 is: 12,884.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,580.76 : 42,869.48 = 8,589.82 : x
  2. Step 2: Convert to fraction form
    28,580.76/42,869.48 = 8,589.82/x
  3. Step 3: Cross multiply
    28,580.76x = 42,869.48 × 8,589.82
  4. Step 4: Simplify right side
    28,580.76x = 368,241,116.69
  5. Step 5: Solve for x
    x = 368,241,116.69/28,580.76
  6. Step 6: Final answer
    x = 12,884.23

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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.