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Finding the Fourth Proportional to 5,549.31, 8,323.97 and 5,409.99

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Solution

The fourth proportional to 5,549.31, 8,323.97 and 5,409.99 is: 8,114.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,549.31 : 8,323.97 = 5,409.99 : x
  2. Step 2: Convert to fraction form
    5,549.31/8,323.97 = 5,409.99/x
  3. Step 3: Cross multiply
    5,549.31x = 8,323.97 × 5,409.99
  4. Step 4: Simplify right side
    5,549.31x = 45,032,567.41
  5. Step 5: Solve for x
    x = 45,032,567.41/5,549.31
  6. Step 6: Final answer
    x = 8,114.99

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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.