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Finding the Fourth Proportional to 2,749.00, 3,793.64 and 1,630.50

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Solution

The fourth proportional to 2,749.00, 3,793.64 and 1,630.50 is: 2,250.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.00 : 3,793.64 = 1,630.50 : x
  2. Step 2: Convert to fraction form
    2,749.00/3,793.64 = 1,630.50/x
  3. Step 3: Cross multiply
    2,749.00x = 3,793.64 × 1,630.50
  4. Step 4: Simplify right side
    2,749.00x = 6,185,521.87
  5. Step 5: Solve for x
    x = 6,185,521.87/2,749.00
  6. Step 6: Final answer
    x = 2,250.10

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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.