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Finding the Fourth Proportional to 2,147.82, 2,962.80 and 1,263.48

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Solution

The fourth proportional to 2,147.82, 2,962.80 and 1,263.48 is: 1,742.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.82 : 2,962.80 = 1,263.48 : x
  2. Step 2: Convert to fraction form
    2,147.82/2,962.80 = 1,263.48/x
  3. Step 3: Cross multiply
    2,147.82x = 2,962.80 × 1,263.48
  4. Step 4: Simplify right side
    2,147.82x = 3,743,438.54
  5. Step 5: Solve for x
    x = 3,743,438.54/2,147.82
  6. Step 6: Final answer
    x = 1,742.90

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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.