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Finding the Fourth Proportional to 3,103.10, 4,654.86 and 1,254.20

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Solution

The fourth proportional to 3,103.10, 4,654.86 and 1,254.20 is: 1,881.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.10 : 4,654.86 = 1,254.20 : x
  2. Step 2: Convert to fraction form
    3,103.10/4,654.86 = 1,254.20/x
  3. Step 3: Cross multiply
    3,103.10x = 4,654.86 × 1,254.20
  4. Step 4: Simplify right side
    3,103.10x = 5,838,125.41
  5. Step 5: Solve for x
    x = 5,838,125.41/3,103.10
  6. Step 6: Final answer
    x = 1,881.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.