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Finding the Fourth Proportional to 2,352.44, 3,528.68 and 1,053.80

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Solution

The fourth proportional to 2,352.44, 3,528.68 and 1,053.80 is: 1,580.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.44 : 3,528.68 = 1,053.80 : x
  2. Step 2: Convert to fraction form
    2,352.44/3,528.68 = 1,053.80/x
  3. Step 3: Cross multiply
    2,352.44x = 3,528.68 × 1,053.80
  4. Step 4: Simplify right side
    2,352.44x = 3,718,522.98
  5. Step 5: Solve for x
    x = 3,718,522.98/2,352.44
  6. Step 6: Final answer
    x = 1,580.71

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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.