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Finding the Fourth Proportional to 3,102.78, 4,654.05 and 762.79

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Solution

The fourth proportional to 3,102.78, 4,654.05 and 762.79 is: 1,144.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.78 : 4,654.05 = 762.79 : x
  2. Step 2: Convert to fraction form
    3,102.78/4,654.05 = 762.79/x
  3. Step 3: Cross multiply
    3,102.78x = 4,654.05 × 762.79
  4. Step 4: Simplify right side
    3,102.78x = 3,550,071.48
  5. Step 5: Solve for x
    x = 3,550,071.48/3,102.78
  6. Step 6: Final answer
    x = 1,144.16

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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.