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Finding the Fourth Proportional to 2,089.64, 3,134.98 and 628.82

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Solution

The fourth proportional to 2,089.64, 3,134.98 and 628.82 is: 943.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.64 : 3,134.98 = 628.82 : x
  2. Step 2: Convert to fraction form
    2,089.64/3,134.98 = 628.82/x
  3. Step 3: Cross multiply
    2,089.64x = 3,134.98 × 628.82
  4. Step 4: Simplify right side
    2,089.64x = 1,971,338.12
  5. Step 5: Solve for x
    x = 1,971,338.12/2,089.64
  6. Step 6: Final answer
    x = 943.39

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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.