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Finding the Fourth Proportional to 2,089.51, 3,134.57 and 628.77

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Solution

The fourth proportional to 2,089.51, 3,134.57 and 628.77 is: 943.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.51 : 3,134.57 = 628.77 : x
  2. Step 2: Convert to fraction form
    2,089.51/3,134.57 = 628.77/x
  3. Step 3: Cross multiply
    2,089.51x = 3,134.57 × 628.77
  4. Step 4: Simplify right side
    2,089.51x = 1,970,932.19
  5. Step 5: Solve for x
    x = 1,970,932.19/2,089.51
  6. Step 6: Final answer
    x = 943.25

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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.