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Finding the Fourth Proportional to 2,563.68, 3,538.40 and 1,668.52

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Solution

The fourth proportional to 2,563.68, 3,538.40 and 1,668.52 is: 2,302.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.68 : 3,538.40 = 1,668.52 : x
  2. Step 2: Convert to fraction form
    2,563.68/3,538.40 = 1,668.52/x
  3. Step 3: Cross multiply
    2,563.68x = 3,538.40 × 1,668.52
  4. Step 4: Simplify right side
    2,563.68x = 5,903,891.17
  5. Step 5: Solve for x
    x = 5,903,891.17/2,563.68
  6. Step 6: Final answer
    x = 2,302.90

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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.