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Finding the Fourth Proportional to 3,606.78, 4,977.24 and 2,035.20

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Solution

The fourth proportional to 3,606.78, 4,977.24 and 2,035.20 is: 2,808.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.78 : 4,977.24 = 2,035.20 : x
  2. Step 2: Convert to fraction form
    3,606.78/4,977.24 = 2,035.20/x
  3. Step 3: Cross multiply
    3,606.78x = 4,977.24 × 2,035.20
  4. Step 4: Simplify right side
    3,606.78x = 10,129,678.85
  5. Step 5: Solve for x
    x = 10,129,678.85/3,606.78
  6. Step 6: Final answer
    x = 2,808.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.