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Finding the Fourth Proportional to 2,630.13, 3,945.19 and 682.35

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Solution

The fourth proportional to 2,630.13, 3,945.19 and 682.35 is: 1,023.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,630.13 : 3,945.19 = 682.35 : x
  2. Step 2: Convert to fraction form
    2,630.13/3,945.19 = 682.35/x
  3. Step 3: Cross multiply
    2,630.13x = 3,945.19 × 682.35
  4. Step 4: Simplify right side
    2,630.13x = 2,692,000.40
  5. Step 5: Solve for x
    x = 2,692,000.40/2,630.13
  6. Step 6: Final answer
    x = 1,023.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.