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Finding the Fourth Proportional to 5,728.50, 8,596.59 and 2,080.50

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Solution

The fourth proportional to 5,728.50, 8,596.59 and 2,080.50 is: 3,122.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.50 : 8,596.59 = 2,080.50 : x
  2. Step 2: Convert to fraction form
    5,728.50/8,596.59 = 2,080.50/x
  3. Step 3: Cross multiply
    5,728.50x = 8,596.59 × 2,080.50
  4. Step 4: Simplify right side
    5,728.50x = 17,885,205.50
  5. Step 5: Solve for x
    x = 17,885,205.50/5,728.50
  6. Step 6: Final answer
    x = 3,122.14

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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.