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Finding the Fourth Proportional to 2,089.86, 3,134.76 and 628.95

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Solution

The fourth proportional to 2,089.86, 3,134.76 and 628.95 is: 943.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.86 : 3,134.76 = 628.95 : x
  2. Step 2: Convert to fraction form
    2,089.86/3,134.76 = 628.95/x
  3. Step 3: Cross multiply
    2,089.86x = 3,134.76 × 628.95
  4. Step 4: Simplify right side
    2,089.86x = 1,971,604.16
  5. Step 5: Solve for x
    x = 1,971,604.16/2,089.86
  6. Step 6: Final answer
    x = 943.41

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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.