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Finding the Fourth Proportional to 2,194.76, 3,291.93 and 551.30

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Solution

The fourth proportional to 2,194.76, 3,291.93 and 551.30 is: 826.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.76 : 3,291.93 = 551.30 : x
  2. Step 2: Convert to fraction form
    2,194.76/3,291.93 = 551.30/x
  3. Step 3: Cross multiply
    2,194.76x = 3,291.93 × 551.30
  4. Step 4: Simplify right side
    2,194.76x = 1,814,824.55
  5. Step 5: Solve for x
    x = 1,814,824.55/2,194.76
  6. Step 6: Final answer
    x = 826.89

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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.