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Finding the Fourth Proportional to 2,147.90, 2,964.16 and 1,263.54

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Solution

The fourth proportional to 2,147.90, 2,964.16 and 1,263.54 is: 1,743.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.90 : 2,964.16 = 1,263.54 : x
  2. Step 2: Convert to fraction form
    2,147.90/2,964.16 = 1,263.54/x
  3. Step 3: Cross multiply
    2,147.90x = 2,964.16 × 1,263.54
  4. Step 4: Simplify right side
    2,147.90x = 3,745,334.73
  5. Step 5: Solve for x
    x = 3,745,334.73/2,147.90
  6. Step 6: Final answer
    x = 1,743.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.