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Finding the Fourth Proportional to 2,012.40, 3,018.72 and 551.52

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Solution

The fourth proportional to 2,012.40, 3,018.72 and 551.52 is: 827.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.40 : 3,018.72 = 551.52 : x
  2. Step 2: Convert to fraction form
    2,012.40/3,018.72 = 551.52/x
  3. Step 3: Cross multiply
    2,012.40x = 3,018.72 × 551.52
  4. Step 4: Simplify right side
    2,012.40x = 1,664,884.45
  5. Step 5: Solve for x
    x = 1,664,884.45/2,012.40
  6. Step 6: Final answer
    x = 827.31

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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.