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Finding the Fourth Proportional to 5,709.80, 8,550.30 and 4,557.80

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Solution

The fourth proportional to 5,709.80, 8,550.30 and 4,557.80 is: 6,825.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.80 : 8,550.30 = 4,557.80 : x
  2. Step 2: Convert to fraction form
    5,709.80/8,550.30 = 4,557.80/x
  3. Step 3: Cross multiply
    5,709.80x = 8,550.30 × 4,557.80
  4. Step 4: Simplify right side
    5,709.80x = 38,970,557.34
  5. Step 5: Solve for x
    x = 38,970,557.34/5,709.80
  6. Step 6: Final answer
    x = 6,825.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.