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Finding the Fourth Proportional to 2,019.74, 3,029.61 and 633.18

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Solution

The fourth proportional to 2,019.74, 3,029.61 and 633.18 is: 949.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.74 : 3,029.61 = 633.18 : x
  2. Step 2: Convert to fraction form
    2,019.74/3,029.61 = 633.18/x
  3. Step 3: Cross multiply
    2,019.74x = 3,029.61 × 633.18
  4. Step 4: Simplify right side
    2,019.74x = 1,918,285.29
  5. Step 5: Solve for x
    x = 1,918,285.29/2,019.74
  6. Step 6: Final answer
    x = 949.77

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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.