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Finding the Fourth Proportional to 3,102.76, 4,654.43 and 1,022.78

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Solution

The fourth proportional to 3,102.76, 4,654.43 and 1,022.78 is: 1,534.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.76 : 4,654.43 = 1,022.78 : x
  2. Step 2: Convert to fraction form
    3,102.76/4,654.43 = 1,022.78/x
  3. Step 3: Cross multiply
    3,102.76x = 4,654.43 × 1,022.78
  4. Step 4: Simplify right side
    3,102.76x = 4,760,457.92
  5. Step 5: Solve for x
    x = 4,760,457.92/3,102.76
  6. Step 6: Final answer
    x = 1,534.27

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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.