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Finding the Fourth Proportional to 1,418.55, 2,127 and 551.85

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Solution

The fourth proportional to 1,418.55, 2,127 and 551.85 is: 827.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.55 : 2,127 = 551.85 : x
  2. Step 2: Convert to fraction form
    1,418.55/2,127 = 551.85/x
  3. Step 3: Cross multiply
    1,418.55x = 2,127 × 551.85
  4. Step 4: Simplify right side
    1,418.55x = 1,173,784.95
  5. Step 5: Solve for x
    x = 1,173,784.95/1,418.55
  6. Step 6: Final answer
    x = 827.45

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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.