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Finding the Fourth Proportional to 3,104.78, 4,654.04 and 1,542.38

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Solution

The fourth proportional to 3,104.78, 4,654.04 and 1,542.38 is: 2,312.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.78 : 4,654.04 = 1,542.38 : x
  2. Step 2: Convert to fraction form
    3,104.78/4,654.04 = 1,542.38/x
  3. Step 3: Cross multiply
    3,104.78x = 4,654.04 × 1,542.38
  4. Step 4: Simplify right side
    3,104.78x = 7,178,267.23
  5. Step 5: Solve for x
    x = 7,178,267.23/3,104.78
  6. Step 6: Final answer
    x = 2,312.01

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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.