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Finding the Fourth Proportional to 6,589.50, 9,091.62 and 4,573.80

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Solution

The fourth proportional to 6,589.50, 9,091.62 and 4,573.80 is: 6,310.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.50 : 9,091.62 = 4,573.80 : x
  2. Step 2: Convert to fraction form
    6,589.50/9,091.62 = 4,573.80/x
  3. Step 3: Cross multiply
    6,589.50x = 9,091.62 × 4,573.80
  4. Step 4: Simplify right side
    6,589.50x = 41,583,251.56
  5. Step 5: Solve for x
    x = 41,583,251.56/6,589.50
  6. Step 6: Final answer
    x = 6,310.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.