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Finding the Fourth Proportional to 2,012.49, 3,018.68 and 551.63

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Solution

The fourth proportional to 2,012.49, 3,018.68 and 551.63 is: 827.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.49 : 3,018.68 = 551.63 : x
  2. Step 2: Convert to fraction form
    2,012.49/3,018.68 = 551.63/x
  3. Step 3: Cross multiply
    2,012.49x = 3,018.68 × 551.63
  4. Step 4: Simplify right side
    2,012.49x = 1,665,194.45
  5. Step 5: Solve for x
    x = 1,665,194.45/2,012.49
  6. Step 6: Final answer
    x = 827.43

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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.