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Finding the Fourth Proportional to 2,089.61, 3,134.73 and 628.61

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Solution

The fourth proportional to 2,089.61, 3,134.73 and 628.61 is: 943.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.61 : 3,134.73 = 628.61 : x
  2. Step 2: Convert to fraction form
    2,089.61/3,134.73 = 628.61/x
  3. Step 3: Cross multiply
    2,089.61x = 3,134.73 × 628.61
  4. Step 4: Simplify right side
    2,089.61x = 1,970,522.63
  5. Step 5: Solve for x
    x = 1,970,522.63/2,089.61
  6. Step 6: Final answer
    x = 943.01

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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.