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Finding the Fourth Proportional to 1,753.14, 2,630.41 and 1,725.50

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Solution

The fourth proportional to 1,753.14, 2,630.41 and 1,725.50 is: 2,588.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.14 : 2,630.41 = 1,725.50 : x
  2. Step 2: Convert to fraction form
    1,753.14/2,630.41 = 1,725.50/x
  3. Step 3: Cross multiply
    1,753.14x = 2,630.41 × 1,725.50
  4. Step 4: Simplify right side
    1,753.14x = 4,538,759.30
  5. Step 5: Solve for x
    x = 4,538,759.30/1,753.14
  6. Step 6: Final answer
    x = 2,588.94

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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.