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Finding the Fourth Proportional to 3,606.78, 5,410.07 and 974.54

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Solution

The fourth proportional to 3,606.78, 5,410.07 and 974.54 is: 1,461.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.78 : 5,410.07 = 974.54 : x
  2. Step 2: Convert to fraction form
    3,606.78/5,410.07 = 974.54/x
  3. Step 3: Cross multiply
    3,606.78x = 5,410.07 × 974.54
  4. Step 4: Simplify right side
    3,606.78x = 5,272,316.97
  5. Step 5: Solve for x
    x = 5,272,316.97/3,606.78
  6. Step 6: Final answer
    x = 1,461.78

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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.