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Finding the Fourth Proportional to 2,108.81, 3,162.93 and 628

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Solution

The fourth proportional to 2,108.81, 3,162.93 and 628 is: 941.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.81 : 3,162.93 = 628 : x
  2. Step 2: Convert to fraction form
    2,108.81/3,162.93 = 628/x
  3. Step 3: Cross multiply
    2,108.81x = 3,162.93 × 628
  4. Step 4: Simplify right side
    2,108.81x = 1,986,320.04
  5. Step 5: Solve for x
    x = 1,986,320.04/2,108.81
  6. Step 6: Final answer
    x = 941.92

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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.