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Finding the Fourth Proportional to 5,549.44, 8,323.20 and 1,652.80

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Solution

The fourth proportional to 5,549.44, 8,323.20 and 1,652.80 is: 2,478.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,549.44 : 8,323.20 = 1,652.80 : x
  2. Step 2: Convert to fraction form
    5,549.44/8,323.20 = 1,652.80/x
  3. Step 3: Cross multiply
    5,549.44x = 8,323.20 × 1,652.80
  4. Step 4: Simplify right side
    5,549.44x = 13,756,584.96
  5. Step 5: Solve for x
    x = 13,756,584.96/5,549.44
  6. Step 6: Final answer
    x = 2,478.91

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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.