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Finding the Fourth Proportional to 3,382.60, 5,074.38 and 1,042.80

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Solution

The fourth proportional to 3,382.60, 5,074.38 and 1,042.80 is: 1,564.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.60 : 5,074.38 = 1,042.80 : x
  2. Step 2: Convert to fraction form
    3,382.60/5,074.38 = 1,042.80/x
  3. Step 3: Cross multiply
    3,382.60x = 5,074.38 × 1,042.80
  4. Step 4: Simplify right side
    3,382.60x = 5,291,563.46
  5. Step 5: Solve for x
    x = 5,291,563.46/3,382.60
  6. Step 6: Final answer
    x = 1,564.35

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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.