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Finding the Fourth Proportional to 2,089.82, 3,134.16 and 628.99

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Solution

The fourth proportional to 2,089.82, 3,134.16 and 628.99 is: 943.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.82 : 3,134.16 = 628.99 : x
  2. Step 2: Convert to fraction form
    2,089.82/3,134.16 = 628.99/x
  3. Step 3: Cross multiply
    2,089.82x = 3,134.16 × 628.99
  4. Step 4: Simplify right side
    2,089.82x = 1,971,347.46
  5. Step 5: Solve for x
    x = 1,971,347.46/2,089.82
  6. Step 6: Final answer
    x = 943.31

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1.5x scale

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.