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Finding the Fourth Proportional to 3,610.40, 4,952.08 and 3,464.60

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Solution

The fourth proportional to 3,610.40, 4,952.08 and 3,464.60 is: 4,752.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,610.40 : 4,952.08 = 3,464.60 : x
  2. Step 2: Convert to fraction form
    3,610.40/4,952.08 = 3,464.60/x
  3. Step 3: Cross multiply
    3,610.40x = 4,952.08 × 3,464.60
  4. Step 4: Simplify right side
    3,610.40x = 17,156,976.37
  5. Step 5: Solve for x
    x = 17,156,976.37/3,610.40
  6. Step 6: Final answer
    x = 4,752.10

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.