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Finding the Fourth Proportional to 5,920.24, 8,170.80 and 3,563.68

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Solution

The fourth proportional to 5,920.24, 8,170.80 and 3,563.68 is: 4,918.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,920.24 : 8,170.80 = 3,563.68 : x
  2. Step 2: Convert to fraction form
    5,920.24/8,170.80 = 3,563.68/x
  3. Step 3: Cross multiply
    5,920.24x = 8,170.80 × 3,563.68
  4. Step 4: Simplify right side
    5,920.24x = 29,118,116.54
  5. Step 5: Solve for x
    x = 29,118,116.54/5,920.24
  6. Step 6: Final answer
    x = 4,918.40

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