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Finding the Fourth Proportional to 2,089.92, 3,134.91 and 628.98

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Solution

The fourth proportional to 2,089.92, 3,134.91 and 628.98 is: 943.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.92 : 3,134.91 = 628.98 : x
  2. Step 2: Convert to fraction form
    2,089.92/3,134.91 = 628.98/x
  3. Step 3: Cross multiply
    2,089.92x = 3,134.91 × 628.98
  4. Step 4: Simplify right side
    2,089.92x = 1,971,795.69
  5. Step 5: Solve for x
    x = 1,971,795.69/2,089.92
  6. Step 6: Final answer
    x = 943.48

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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.