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Finding the Fourth Proportional to 3,287.98, 4,926.87 and 1,620.19

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Solution

The fourth proportional to 3,287.98, 4,926.87 and 1,620.19 is: 2,427.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.98 : 4,926.87 = 1,620.19 : x
  2. Step 2: Convert to fraction form
    3,287.98/4,926.87 = 1,620.19/x
  3. Step 3: Cross multiply
    3,287.98x = 4,926.87 × 1,620.19
  4. Step 4: Simplify right side
    3,287.98x = 7,982,465.51
  5. Step 5: Solve for x
    x = 7,982,465.51/3,287.98
  6. Step 6: Final answer
    x = 2,427.77

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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.