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Finding the Fourth Proportional to 3,475.09, 5,208.72 and 1,828.09

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Solution

The fourth proportional to 3,475.09, 5,208.72 and 1,828.09 is: 2,740.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.09 : 5,208.72 = 1,828.09 : x
  2. Step 2: Convert to fraction form
    3,475.09/5,208.72 = 1,828.09/x
  3. Step 3: Cross multiply
    3,475.09x = 5,208.72 × 1,828.09
  4. Step 4: Simplify right side
    3,475.09x = 9,522,008.94
  5. Step 5: Solve for x
    x = 9,522,008.94/3,475.09
  6. Step 6: Final answer
    x = 2,740.08

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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.