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Finding the Fourth Proportional to 3,049.62, 4,208.50 and 1,652.37

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Solution

The fourth proportional to 3,049.62, 4,208.50 and 1,652.37 is: 2,280.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.62 : 4,208.50 = 1,652.37 : x
  2. Step 2: Convert to fraction form
    3,049.62/4,208.50 = 1,652.37/x
  3. Step 3: Cross multiply
    3,049.62x = 4,208.50 × 1,652.37
  4. Step 4: Simplify right side
    3,049.62x = 6,953,978.10
  5. Step 5: Solve for x
    x = 6,953,978.10/3,049.62
  6. Step 6: Final answer
    x = 2,280.28

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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.